Alexander Ramm
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Russian-American mathematician
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Mathematics
Alexander Ramm's Degrees
- PhD Mathematics University of Kansas
- Masters Mathematics University of Kansas
- Bachelors Mathematics Moscow State University
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Why Is Alexander Ramm Influential?
(Suggest an Edit or Addition)According to Wikipedia, Alexander G. Ramm is an American mathematician. His research focuses on differential and integral equations, operator theory, ill-posed and inverse problems, scattering theory, functional analysis, spectral theory, numerical analysis, theoretical electrical engineering, signal estimation, and tomography.
Alexander Ramm's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The RADON TRANSFORM and LOCAL TOMOGRAPHY (1996) (328)
- Scattering by obstacles (1986) (315)
- Multidimensional inverse scattering problems (1999) (196)
- Inverse Problems: Mathematical and Analytical Techniques with Applications to Engineering (2004) (172)
- Dynamical systems method for solving operator equations (2004) (162)
- On stable numerical differentiation (2001) (151)
- CORRIGENDUM: Recovery of the potential from fixed-energy scattering data (1988) (136)
- Integral equations and applications (2015) (124)
- Theory and Applications of Some New Classes of Integral Equations (1980) (94)
- Multidimensional inverse problems and completeness of the products of solutions to PDE (1988) (87)
- Many-body wave scattering by small bodies and applications (2007) (86)
- A Simple Proof of the Fredholm Alternative and a Characterization of the Fredholm Operators (2000) (82)
- An Inverse Problem for the Heat Equation (2001) (78)
- Random fields estimation theory (1990) (78)
- Wave Scattering By Small Bodies Of Arbitrary Shapes (2005) (67)
- Wave scattering by many small particles embedded in a medium (2008) (65)
- Completeness of the products of solutions to PDE and uniqueness theorems in inverse scattering (1987) (61)
- Property C for ODE and applications to inverse problems. (1999) (61)
- Encyclopaedia of Mathematics, Supplement III (2002) (59)
- Property C and an inverse problem for a hyperbolic equation (1991) (57)
- Stability estimates in inverse scattering (1992) (55)
- On completeness of the products of harmonic functions (1986) (51)
- Distribution of Particles Which Produces a “Smart” Material (2007) (50)
- Completeness of the products of solutions of PDE and inverse problems (1990) (50)
- DYNAMICAL SYSTEMS AND DISCRETE METHODS FOR SOLVING NONLINEAR ILL-POSED PROBLEMS (2000) (48)
- Dynamical Systems Method (dsm) and Nonlinear Problems (2005) (44)
- A collocation method for solving integral equations (2009) (43)
- Electromagnetic wave scattering by many small bodies and creating materials with a desired refraction coefficient. (2010) (40)
- Symmetry properties of scattering amplitudes and applications to inverse problems (1991) (40)
- Theoretical and practical aspects of singularity and eigenmode expansion methods (1980) (40)
- Uniqueness theorems for multidimensional inverse problems with unbounded coefficients (1988) (40)
- Reconstructing singularities of a function from its Radon transform (1993) (39)
- Electromagnetic wave scattering by small bodies (2008) (38)
- Spectral and scattering theory (2020) (38)
- Pseudolocal Tomography (1996) (37)
- Convergence of the T-matrix approach in scattering theory. II (1982) (35)
- Stable solutions of some ill-posed problems (1981) (35)
- Example of two different potentials which have practically the same fixed-energy phase shifts (1999) (34)
- Mathematical foundations of the singularity and eigenmode expansion methods (SEM and EEM) (1982) (33)
- Numerical Inversion of the Laplace Transform from the Real Axis (2000) (33)
- Multidimensional inverse scattering problems and completeness of the products of solutions to homogeneous PDE (1989) (33)
- Regularization of ill-posed problems with unbounded operators (2001) (32)
- Does negative refraction make a perfect lens (2008) (32)
- Inequalities for the minimal eigenvalue of the Laplacian in an annulus (1999) (32)
- Random Fields Estimation (2005) (32)
- Distribution of particles which produces a desired radiation pattern (2005) (31)
- Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies (1982) (31)
- CONTINUOUS ANALOG OF THE GAUSS-NEWTON METHOD (1999) (31)
- The pompeiu problem (1997) (31)
- On the discrepancy principle for the dynamical systems method (2003) (31)
- Modified Rayleigh conjecture and applications (2002) (30)
- Dynamical systems method for solving nonlinear equations with monotone operators (2009) (29)
- Wave scattering by small bodies and creating materials with a desired refraction coefficient (2010) (29)
- A geometrical inverse problem (1986) (29)
- UNIQUENESS THEOREMS FOR INVERSE OBSTACLE SCATTERING PROBLEMS IN LIPSCHITZ DOMAINS (1995) (29)
- A scheme for stable numerical differentiation (2006) (29)
- A symmetry problem (2004) (29)
- INEQUALITIES FOR THE DERIVATIVES (1999) (28)
- Convergence rates of the continuous regularized Gauss—Newton method (2002) (28)
- Solving ill-conditioned linear algebraic systems by the dynamical systems method (2007) (27)
- Inversion of the Laplace transform (1986) (27)
- On the limit amplitude principle for a layer. (1985) (26)
- NUMERICAL IMPLEMENTATION OF THE MRC METHOD FOR OBSTACLE SCATTERING PROBLEMS (2002) (26)
- A simple proof of the uniqueness theorem in impedance tomography (1988) (26)
- Inversion of limited-angle tomographic data (1991) (26)
- An Inverse Scattering Problem with Part of the Fixed-Energy Phase Shifts (1999) (25)
- Scattering by many small particles and creating materials with a desired refraction coefficient (2010) (25)
- Stability of the solution to inverse obstacle scattering problem (2000) (25)
- Numerical method for solving 3D inverse scattering problems (1988) (25)
- Dynamical Systems Gradient Method for Solving Nonlinear Equations with Monotone Operators (2009) (25)
- A new approach to inverse spectral theory, III. Short-range potentials (2000) (25)
- Electromagnetic inverse problems with surface measurements at low frequencies (1989) (25)
- Some inverse scattering problems of geophysics (1985) (24)
- Inverse Problems (2008) (24)
- Inverse scattering for geophysical problems (1983) (24)
- A recipe for making materials with negative refraction in acoustics (2008) (23)
- Stability of the Solutions to 3D Inverse Scattering Problems with Fixed-Energy Data (2002) (23)
- A uniqueness theorem for a boundary inverse problem (1988) (23)
- Continuous Methods for Solving Nonlinear Ill-Posed Problems (2000) (22)
- STABLE NUMERICAL DIFFERENTIATION: WHEN IS IT POSSIBLE? (2003) (22)
- Materials with a desired refraction coefficient can be created by embedding small particles into a given material (2010) (22)
- Behavior of the solutions to exterior boundary value problems at low frequencies (1986) (21)
- One-dimensional inverse scattering and spectral problems. (2003) (21)
- Formula for the radius of the support of the potential in terms of scattering data (1998) (21)
- Scattering by Obstacles in Acoustic Waveguides (1998) (21)
- Existence and Uniqueness of Scattering Solutions in Non-smooth Domains (1996) (21)
- Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave (2011) (20)
- On the discrepancy principle (2003) (20)
- Linear Ill-Posed Problems and Dynamical Systems☆ (2000) (20)
- New methods for finding values of the jumps of a function from its local tomographic data (1995) (20)
- A METHOD FOR CREATING MATERIALS WITH A DESIRED REFRACTION COEFFICIENT (2010) (20)
- An iterative scheme for solving nonlinear equations with monotone operators (2008) (19)
- Sufficient conditions for zero not to be an eigenvalue of the Schrödinger operator (1987) (19)
- Stability of the solution to inverse scattering problem with exact data (1992) (19)
- Inverse problems, tomography, and image processing (1998) (19)
- Wave scattering by small impedance particles in a medium (2007) (19)
- A problem in analysis (2012) (18)
- Asymptotic stability of solutions to abstract differential equations (2010) (18)
- LETTERS TO THE EDITOR: Stability of the numerical method of solving the 3D inverse scattering problem with fixed-energy data (1990) (18)
- A nonlinear inequality and applications (2009) (18)
- Dynamical systems method for ill-posed equations with monotone operators (2005) (18)
- Numerical method for solving 3D inverse problems of geophysics (1988) (18)
- Inverse scattering on half-line (1988) (18)
- Dissipative Maxwell's equations at low frequencies (1990) (18)
- Scattering amplitude as a function of the obstacle (1993) (17)
- INVERSE PROBLEMS FOR PARABOLIC EQUATIONS (2005) (17)
- Stability Estimates for Obstacle Scattering (1994) (17)
- Stability of solutions to inverse scattering problems with fixed-energy data (2000) (17)
- Continuous modified Newton’s-type method for nonlinear operator equations (2003) (17)
- STATIONARY REGIMES IN PASSIVE NONLINEAR NETWORKS1 (1980) (17)
- Dynamical Systems Method and a Homeomorphism Theorem (2004) (17)
- Electromagnetic wave scattering by a small impedance particle: Theory and modeling (2012) (17)
- Singularities of the radon transform (1993) (17)
- Signal estimation from incomplete data (1987) (17)
- A new discrepancy principle (2005) (17)
- Iterative solution of linear equations with unbounded operators (2006) (17)
- Dynamical systems method (DSM) for unbounded operators (2004) (16)
- Estimates of derivatives of random functions I (1984) (16)
- Preparing Materials with a Desired Refraction Coefficient and Applications (2009) (16)
- On Simultaneous Approximation of a Function and its Derivative by Interpolation Polynomials (1977) (16)
- Dynamical Systems Method and Applications: Theoretical Developments and Numerical Examples (2011) (16)
- Ill-posed problems with unbounded operators (2007) (16)
- Property C and uniqueness theorems for multidimensional inverse spectral problems (1990) (16)
- New method for proving uniqueness theorems for obstacle inverse scattering problems (1993) (16)
- On unbounded operators and applications (2005) (16)
- Equations for the self-consistent field in random medium (2003) (16)
- Scattering by Obstacles and Potentials (2017) (15)
- Operator Theory and Its Applications (2000) (15)
- Singularities of the inverses of Fredholm operators (1986) (15)
- Inverse Acoustic Scattering by a Layered Obstacle (1998) (15)
- DSM of Newton type for solving operator equations F(u) = f with minimal smoothness assumptions on F (2010) (15)
- Many-body wave scattering by small bodies (2006) (15)
- Is the Born approximation good for solving the inverse problem when the potential is small (1990) (15)
- An inversion formula in scattering theory (1983) (15)
- Optimal estimation from limited noisy data (1987) (14)
- Analysis of the Newton-Sabatier Scheme for Inverting Fixed-Energy Phase Shifts (2001) (14)
- Filtered back projection method for inversion of incomplete tomographic data (1992) (14)
- Numerical solution of many-body wave scattering problem for small particles (2009) (14)
- Scattering of Acoustic and Electromagnetic Waves by Small Impedance Bodies of Arbitrary Shape (2013) (14)
- Estimates for Green’s functions (1988) (14)
- Application of the asymptotic solution to EM field scattering problem for creation of media with prescribed permeability (2014) (14)
- Wave scattering by small particles in a medium (2007) (14)
- An inverse problem for Maxwell's equation (1989) (14)
- Stability of a numerical method for solving the 3 D inverse scattering problem with fixed energy data. (1991) (14)
- Solution to the Pompeiu problem and the related symmetry problem (2016) (13)
- Scattering of electromagnetic waves by many thin cylinders (2011) (13)
- Inversion of the backscattering data and a problem of integral geometry (1985) (13)
- Finding potential from the fixed-energy scattering data via D-N map (1996) (13)
- NUMERICAL SOLUTION OF OBSTACLE SCATTERING PROBLEMS (2004) (13)
- Finding discontinuities from tomographic data (1995) (13)
- A nonlinear inequality and evolution problems (2010) (13)
- A discrepancy principle for equations with monotone continuous operators (2009) (13)
- Uniqueness result for inverse problem of geophysics: I (1990) (13)
- Dynamical Systems Gradient Method for Solving Ill-Conditioned Linear Algebraic Systems (2008) (13)
- Property C for ODE and applications (2000) (13)
- An inverse problem for the Helmholtz equation in a semi-infinite medium (1987) (13)
- Numerical recovery of the 3D potential from fixed energy incomplete scattering data (1989) (13)
- Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method (2009) (13)
- Continuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inverse derivative (2001) (13)
- Stability of the inversion of 3D fixed-frequency scattering data (1992) (12)
- Uniqueness theorem for an inverse scattering problem with non-overdetermined data (2009) (12)
- Nonselfadjoint operators in diffraction and scattering (1980) (12)
- Multidimensional inverse problems: uniqueness theorems (1988) (12)
- A Counterexample to a Uniqueness Result (2002) (12)
- Dynamical systems method for solving linear finite-rank operator equations (2008) (12)
- Inverse scattering problem with data at fixed energy and fixed incident direction (2008) (12)
- Dynamical Systems Method for solving nonlinear operator equations in Banach spaces (2010) (12)
- Dynamical systems method for solving linear ill-posed problems (2006) (12)
- Numerical Method for Solving 3D Inverse Problems with Complete and Incomplete Data (1989) (12)
- Creating wave-focusing materials (2008) (12)
- Application of the Hybrid Stochastic- Deterministic Minimization Method to a Surface Data Inverse Scattering Problem (2000) (12)
- Continuous dependence of the scattering amplitude on the surface of an obstacle (1995) (12)
- Materials with a desired refraction coefficient can be made by embedding small particles (2007) (12)
- An approximate method for solving the inverse scattering problem with fixed-energy data (1999) (12)
- A Uniqueness Theorem for an Inverse Problem (1988) (11)
- Scattering of scalar waves by many small particles (2011) (11)
- Asymptotic behavior of the Fourier transform of piecewise-smooth functions (1993) (11)
- A characterisation of the scattering data in the 3D inverse scattering problem (1987) (11)
- FUNDAMENTAL SOLUTIONS TO SOME ELLIPTIC EQUATIONS WITH DISCONTINUOUS SENIOR COEFFICIENTS AND AN INEQUALITY FOR THESE SOLUTIONS. (1998) (11)
- MODIFIED RAYLEIGH CONJECTURE METHOD FOR MULTIDIMENSIONAL OBSTACLE SCATTERING PROBLEMS (2004) (11)
- AN INVERSE PROBLEM FOR POINT INHOMOGENEITIES (1999) (11)
- Property C for Ordinary Differential Equations and Applications to Inverse Scattering (1999) (11)
- On the basis property for the root vectors of some nonselfadjoint operators (1981) (11)
- Inversion of incomplete radon transform (1992) (11)
- A NUMERICAL METHOD FOR SOLVING NONLINEAR ILL-POSED PROBLEMS (1999) (11)
- Piecewise constant positive potentials with practically the same fixed energy phase shifts (2001) (11)
- A uniqueness theorem for two-parameter inversion (1988) (11)
- Necessary and sufficient conditions for a PDO to be a local tomography operator (1996) (11)
- Scattering by many small inhomogeneities and applications (2011) (11)
- Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape (2014) (11)
- Uniqueness of the solution to inverse obstacle scattering with non-over-determined data (2016) (11)
- On the theory of reproducing kernel Hilbert spaces (1998) (11)
- Scattering of electromagnetic waves by many small perfectly conducting or impedance bodies (2015) (11)
- X-Ray Transform, the Legendre Transform, and Envelopes (1994) (11)
- Inverse problem of potential theory (2018) (11)
- Uniqueness theorems for 3D inverse problems with incomplete data (1990) (11)
- Dynamical systems method for solving ill-conditioned linear algebraic systems (2009) (11)
- Symmetry Problems. The Navier-Stokes Problem (2019) (10)
- Approximate Inverse Geophysical Scattering on a Small Body (1996) (10)
- An inverse problem for a heat equation with piecewise- constant thermal conductivity (2009) (10)
- Inversion of limited-angle tomographic data II (1992) (10)
- A method for solving inverse diffraction problems (1987) (10)
- Electromagnetic wave scattering by a small impedance particle of arbitrary shape (2011) (10)
- Property C with Constraints and Inverse Spectral Problems with Incomplete Data (1993) (10)
- On the inverse diffraction problem (1984) (10)
- Inverse scattering by the stability index method (2001) (10)
- On a new notion of regularizer (2003) (10)
- Electromagnetic wave scattering by many small particles and creating materials with a desired permeability (2010) (10)
- A NEW VERSION OF THE DYNAMICAL SYSTEMS METHOD (DSM) FOR SOLVING NONLINEAR EQUATIONS WITH MONOTONE OPERATORS (2009) (10)
- A characterization of unbounded Fredholm operators (2003) (10)
- Electromagnetic wave scattering by many small perfectly conducting particles of an arbitrary shape (2012) (10)
- Stability of the solution to 3D fixed-energy inverse scattering problem (1992) (10)
- An iterative method for solving Fredholm integral equations of the first kind (2009) (10)
- A variational principle for resonances (1980) (10)
- Limit of the spectra of the interior Neumann problems when a solid domain shrinks to a plane one (1985) (10)
- On deconvolution methods (2003) (9)
- Scattering by a penetrable body (1984) (9)
- Uniqueness of the solution to inverse scattering problem with backscattering data (2010) (9)
- Discrepancy principle for DSM II (2008) (9)
- Scattering of Electromagnetic Waves by Many Nano-Wires (2013) (9)
- A stability result for abstract evolution problems (2013) (9)
- Conditions for zero not to be an eigenvalue of the Schrödinger operator. II (1988) (9)
- A Uniqueness Result for the Inverse Transmission Problem (2000) (9)
- On a property of the set of radiation patterns (1984) (9)
- Injectivity of the spherical means operator (2002) (9)
- Modified Rayleigh Conjecture for scattering by periodic structures (2004) (9)
- Solution of the Navier-Stokes problem (2019) (9)
- Uniqueness Theorem in Scattering Theory (1984) (9)
- A formula for inversion of boundary data (1995) (9)
- Necessary and sufficient condition for a domain, which fails to have Pompeiu property, to be a ball (1998) (9)
- Extraction of resonances from transient fields (1985) (9)
- A Fast Algorithm for Solving Scalar Wave Scattering Problem by Billions of Particles (2016) (9)
- Nonparametric estimation of the singularities of a signal from noisy measurements (1994) (9)
- Examples of nonuniqueness for an inverse problem of geophysics (1995) (9)
- Wave scattering by many small bodies: transmission boundary conditions (2013) (8)
- Inversion of incomplete cone-beam data (1992) (8)
- Inverse scattering with fixed-energy data (1992) (8)
- Property C with constraints and inverse problems (1993) (8)
- Finding conductivity from surface measurements (1991) (8)
- Inverse scattering for geophysical problems. II. Inversion of acoustical data (1984) (8)
- Scattering of electromagnetic waves by many thin cylinders: Theory and computational modeling (2012) (8)
- An inverse problem for Helmholtz's equation II (1987) (8)
- Fixed energy inverse scattering for noncompactly supported potentials (1993) (8)
- A counterexample to the uniqueness result of Cox and Thompson (2001) (8)
- Inversion of the Radon transform with incomplete data (1992) (8)
- Compactness of the embedding operators for rough domains (2001) (8)
- Perturbation of resonances (1982) (8)
- Dynamical Systems Method (DSM) for general nonlinear equations (2006) (8)
- Symmetry problems for the Helmholtz equation (2019) (8)
- A new approach to the inverse scattering and spectral problems for the Sturm‐Liouville equation (1998) (8)
- An approximate method for solving inverse scattering problem with fixed-energy phase shifts (1999) (8)
- Optimization Methods in Direct and Inverse Scattering (2004) (8)
- Necessary and sufficient conditions for a function A( θ',θ,k) to be the scattering amplitude corresponding to a reflecting obstacle (1987) (8)
- An approximation problem (1991) (8)
- Nonlinear differential inequality (2010) (8)
- Collocation method for solving some integral equations of estimation theory (2010) (7)
- Dynamical systems method and surjectivity of nonlinear maps (2005) (7)
- Stability of solutions to abstract evolution equations with delay (2012) (7)
- Asymptotics of the solution to Robin problem (2009) (7)
- New methods for finding discontinuities of functions from local tomographic data (1997) (7)
- Necessary and sufficient condition for to have property C (1991) (7)
- The Navier-Stokes Problem (2019) (7)
- Example of a potential in one-dimensional scattering problem for which there are infinitely many purely imaginary resonances (1987) (7)
- Exterior boundary value problems as limits of interface problems (1981) (7)
- Numerical recovery of the layered medium from the surface data (1989) (7)
- Research announcement asymptotics of pdo on discontinuous functions near singular support (1995) (7)
- Finding small inhomogeneities from surface scattering data (1999) (7)
- Compactly supported spherically symmetric potentials are uniquely determined by the phase shift of the s-wave (1998) (7)
- A non-overdetermined inverse problem of finding the potential from the spectral function (2000) (7)
- Inverse problem for an inhomogeneous Schrödinger equation (1999) (7)
- Implicit function theorem via the DSM (2010) (7)
- Modified Rayleigh conjecture method and its applications (2006) (7)
- How large is the class of operator equations solvable by a DSM Newton-type method? (2011) (7)
- Eigenfunction expansions for some nonselfadjoint operators and the transport equation (1983) (6)
- Acceleration of Convergence of A Continuous Analog of the Newton Method (2002) (6)
- Existence of the solutions to convolution equations with distributional kernels (2017) (6)
- Existence and uniqueness of the scattering solutions in the exterior of rough domains (1999) (6)
- Inverse Diffraction Problem (1985) (6)
- Scattering by an Obstacle (1986) (6)
- Inverse geophysical problems for some noncompactly supported inhomogeneities (1993) (6)
- Completeness and non-completeness results for the set of products of solutions to differential equations (1996) (6)
- Creating materials with a desired refraction coefficient (2008) (6)
- Numerical solution of 3d inverse scattering problems with noisy discrete fixed-energy data (1992) (6)
- Dynamical systems method (DSM) for nonlinear equations in Banach spaces (2004) (6)
- On some properties of solutions of Helmholtz equation (1981) (6)
- Numerical solution of integral equations in a space of distributions (1985) (6)
- Completeness of the set of scattering amplitudes (2006) (6)
- Discrepancy principle for DSM (2006) (6)
- A problem of integral geometry (1991) (6)
- Scattering amplitude and algorithm for solving the inverse scattering problem for a class of non-convex obstacles (1986) (6)
- Wave Scattering by Small Bodies (1985) (6)
- Stability of Solutions to Evolution Problems (2013) (6)
- Necessary and sufficient condition for a scattering amplitude to correspond to a spherically symmetric scatterer (1989) (6)
- Creating materials with a desired refraction coefficient: numerical experiments (2010) (6)
- Stable Calculation of the Legendre Transform (1993) (6)
- Uniqueness theorem for the solution of the Dirichlet problem (1978) (6)
- An inverse problem for an abstract evolution equation (2001) (6)
- Recovery of Compactly Supported Spherically Symmetric Potentials from the Phase Shift of the S-Wave (1998) (5)
- Computational method for acoustic wave focusing (2006) (5)
- Convergence of the T‐matrix approach in the potential scattering (1982) (5)
- Uniqueness of the solution to inverse obstacle scattering problem [rapid communication] (2005) (5)
- Spectral Properties of Some Nonselfadjoint Operators and Some Applications (1981) (5)
- Antenna Synthesis by the Modulus of the Diagram (2016) (5)
- Recovery of small electromagnetic inhomogeneities from partial boundary measurements (2002) (5)
- Scattering amplitude in not a finite rank kernel in the basis of spherical harmonics (1993) (5)
- Existence and uniqueness of the global solution to the Navier-Stokes equations (2015) (5)
- Numerical Method for Solving Obstacle Scattering Problems by an Algorithm Based on the Modified Rayleigh Conjecture (2004) (5)
- Modeling of the ejection process (1994) (5)
- Wave scattering by many small bodies (2011) (5)
- SUPPORT FUNCTION METHOD FOR INVERSE OBSTACLE SCATTERING PROBLEMS (2003) (5)
- Dynamical systems method (DSM) for selfadjoint operators (2007) (5)
- Variational principles for eigenvalues of compact nonselfadjoint operators (1981) (5)
- Comments on the Navier-Stokes Problem (2021) (5)
- EMBEDDING OPERATORS AND BOUNDARY-VALUE PROBLEMS FOR ROUGH DOMAINS (2004) (5)
- Large-Time Behavior of Solutions to Evolution Equations (2016) (5)
- Inequalities for solutions to some nonlinear equations (2003) (5)
- Inversion of fixed-frequency surface data for layered medium (1994) (5)
- Reconstruction of the potential from I-function (2001) (5)
- Symmetry problems 2 (2009) (5)
- Creating desired potentials by embedding small inhomogeneities (2009) (5)
- ON THE SINGULARITY AND EIGENMODE EXPANSION METHODS (SEM AND EEM) (1981) (4)
- Solution of Some Integral Equations Arising in Integral Geometry (1991) (4)
- A NONLINEAR INEQUALITY (2008) (4)
- Asymptotics of the Solutions to Singularly Perturbed Multidimensional Integral Equations (1995) (4)
- Concerning the Navier-Stokes problem (2020) (4)
- Continuity of solutions to operator equations with respect to a parameter. (2004) (4)
- Convergence of Time-Dependent Turing Structures to a Stationary Solution (2013) (4)
- Navier-Stokes equations paradox (2021) (4)
- A nonlinear singular perturbation problem (2004) (4)
- FINDING DISCONTINUITIES OF PIECEWISE-SMOOTH FUNCTIONS (2005) (4)
- On a hyper-singular equation (2020) (4)
- Existence of infinitely many purely imaginary resonances in the problem of potential scattering (1984) (4)
- Algorithmically verifiable characterization of the class of scattering amplitudes for small potentials (1990) (4)
- Inversion of the acoustic well to well data (1988) (4)
- Scattering amplitude is not a finite-rank kernel (1993) (4)
- Characterisation of the low-frequency scattering data in the inverse problem of geophysics (1987) (4)
- ESTIMATION OF RANDOM FIELDS (2002) (4)
- Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators (2009) (4)
- Finding small objects from tomographic data (1997) (4)
- The radon transform is an isomorphism between L2(Ba) and He(Za) (1995) (4)
- Invariant manifolds for dissipative systems (2009) (4)
- Calculating resonances (natural frequencies) and extracting them from transient fields (1985) (4)
- Inversion formula and singularities of the solution for the backprojection operator in tomography (1996) (4)
- SOME RESULTS ON INVERSE SCATTERING (2008) (4)
- Electromagnetic wave scattering by small perfectly conducting particles and applications (2014) (4)
- Perturbations preserving asymptotic of spectrum (1980) (4)
- Inverse scattering in an absorptive medium (1986) (4)
- SOME NONLINEAR INEQUALITIES AND APPLICATIONS (2010) (4)
- Can a constant be the fixed-energy scattering amplitude for an integrable local potential? (1991) (4)
- Large-time behavior of the weak solution to 3D Navier-Stokes equations (2012) (3)
- Dynamical Systems Method (DSM) for solving equations with monotone operators without smoothness assumptions on F′(u) (2010) (3)
- A Variational Principle and Its Application to Estimating the Electrical Capacitance of a Perfect Conductor (2013) (3)
- On symmetry problems (2005) (3)
- An inverse problem for biharmonic equation (1988) (3)
- Justification of the limiting absorption principle in R2 (1999) (3)
- Radon Transform of Distributions (2020) (3)
- Numerical solution of some integral equations in distributions (1991) (3)
- Variational principles for resonances. II (1982) (3)
- Multidimensional Algorithm for Finding Discontinuities of Signals from Noisy Discrete Data (1993) (3)
- Some Nonlinear Problems in the Theory of Antenna Synthesis (1969) (3)
- Approximation by scattering solutions and applications to inverse scattering (1993) (3)
- A uniqueness theorem in scattering theory (1984) (3)
- Justification of the Dynamical Systems Method (DSM) for global homeomorphisms (2010) (3)
- Corrigendum to “Discrepancy principle for the dynamical systems method” [Communications in Nonlinear Science and Numerical Simulation 10 (2005) 95–101] (2005) (3)
- LETTER TO THE EDITOR: Necessary and sufficient condition on the fixed-energy scattering data for the potential to be spherically symmetric (1989) (3)
- 3D inverse scattering (1991) (3)
- On hyper-singular integrals (2020) (3)
- Stability estimate in scattering theory and its application to mesoscopic systems and quantum chaos (1994) (3)
- Inverse scattering with non-over-determined data (2009) (3)
- Existence of a solution to a nonlinear equation (2004) (3)
- Modified Rayleigh Conjecture Method with optimally placed sources (2006) (3)
- Numerical Implementation of Cross-Section Method for Irregular Waveguides (2000) (3)
- How To Prepare Materials With a Desired Refraction Coefficient (2010) (3)
- Justification of Fabrikant's method for solving mixed problems of potential theory (1991) (3)
- Inversion of cone-beam data and helical tomography (1995) (3)
- Inverse problems for parabolic equations 2 (2005) (3)
- On deconvolution problems: numerical aspects (2004) (3)
- Analysis of a method for identification of obstacles (2004) (3)
- Description of the degree of nonuniqueness in inverse source problems (1984) (3)
- Existence of the solution to electromagnetic wave scattering problem for an impedance body of an arbitrary shape (2015) (3)
- Global existence, uniqueness and estimates of the solution to the Navier-Stokes equations (2017) (3)
- Symmetry problems in harmonic analysis (2019) (3)
- Theory of hyper-singular integrals and its application to the Navier-Stokes problem (2020) (3)
- LETTER TO THE EDITOR: Offset measurements on a sphere at a fixed frequency do not determine the inhomogeneity uniquely (1985) (3)
- A new proof of absence of positive discrete spectrum of the Schrödinger operator (1980) (3)
- Numerical solution of some inverse scattering problems of geophysics (1991) (3)
- INEQUALITIES FOR THE DERIVATIVES AND STABLE DIFFERENTIATION OF PIECEWISE-SMOOTH DISCONTINUOUS FUNCTIONS (2005) (3)
- Inverse scattering for geophysical problems when the background is variable (1986) (3)
- Two sided estimates of the scattering amplitude for low energy (1980) (3)
- Finding the position of a small body in the presence of a large body from scattering data (2009) (3)
- Scattering by Obstacles with Infinite Boundaries (1986) (3)
- LETTER TO THE EDITOR: Global convergence for ill-posed equations with monotone operators: the dynamical systems method (2003) (3)
- SOME IDENTIFICATION PROBLEMS FOR INTEGRO-DIFFERENTIAL OPERATOR EQUATIONS (2000) (3)
- Corrigendum to “Dynamical systems method for solving operator equations” [Communications in Nonlinear Science and Numerical Simulation 9 (2004)] (2004) (3)
- Approximate Solution to Inverse Scattering Problem for Potentials With Small Support (1996) (3)
- Uniqueness result for inverse problem of geophysics II (1990) (3)
- Analytical solution of a new class of integral equations (2003) (3)
- Necessary and sufficient conditions on the scattering data for the potential to be in L2 for the Schrodinger operator on the half-line (1987) (3)
- Consistency of rank tests against some general alternatives (1993) (2)
- Perturbations preserving asymptotics of spectrum with remainder (1982) (2)
- An inverse problem for Helmholtz's equation (1987) (2)
- Spectral properties of some nonselfadjoint operators (1981) (2)
- A collocation method for solving some integral equations in distributions (2011) (2)
- Asymptotic behavior of eigenvalues when the potential depends on a parameter (1967) (2)
- Necessary and Sufficient Condition for a Surface to be a Sphere (2018) (2)
- INEQUALITIES FOR BRACHISTOCHRONE (1999) (2)
- Electromagnetic Inverse Problems at Low Frequencies (1990) (2)
- A criterion for completeness of the set of scattering amplitudes (1988) (2)
- Explanation of Feynman's paradox concerning low-pass fllters (2004) (2)
- An inverse problem for parabolic equations (2005) (2)
- Asymptotics of the Solutions to Singularly Perturbed Integral Equations (1993) (2)
- Electromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape and Applications (2014) (2)
- Compactness of Embeddings (2005) (2)
- Numerical modeling in wave scattering problem for small particles (2010) (2)
- A variational principle and its application (2012) (2)
- On the Uniqueness of Harmonic Coordinates in the General Theory of Relativity (1979) (2)
- Wave scattering by many small bodies and applications (2010) (2)
- A numerical algorithm for solving 3D inverse scattering problem with non-over-determined data (2017) (2)
- Recovery of quarkonium system from experimental data (1998) (2)
- Property C with constraints (1995) (2)
- Two results on ill-posed problems (2005) (2)
- On S. Saitoh’s Characterization of the Range of Linear Transforms (1998) (2)
- Theory of ground-penetrating radars III (2000) (2)
- On a uniqueness theorem in inverse scattering by an infinite surface with a finite inhomogeneity (1985) (2)
- Asymptotics of the solution to a singularly perturbed integral equation (1991) (2)
- Investigation of a class of systems of integral equations (1980) (2)
- Scattering of electromagnetic waves by many nanowires (2012) (2)
- A DSM proof of surjectivity of monotone nonlinear mappings (2008) (2)
- SHORT-RANGE POTENTIALS (2000) (2)
- On the quasi-static boundary value problem of electrodynamics☆ (1980) (2)
- Electromagnetic wave scattering by a thin layer in which many small particles are embedded (2010) (2)
- A three-dimensional Ambartsumian-type theorem (1992) (2)
- Symmetry problem 1 (2018) (2)
- A singular perturbation result and its application to mathematical ecology (1991) (2)
- Uniqueness and inversion of cone beam data (1993) (2)
- Scattering of EM waves by many small perfectly conducting or impedance bodies (2016) (2)
- Creating materials in which heat propagates along a line (2015) (2)
- Inverse problem for a heat equation with piecewise-constant conductivity (2010) (2)
- Continuous regularization of nonlinear ill-posed problems (1999) (2)
- Comments on the letter of P.Sabatier (2003) (2)
- An inverse problem with data on the part of the boundary (2006) (2)
- CALCULATION OF QUASI-STATIONARY STATES IN NONRELATIVISTIC QUANTUM MECHANICS. (1972) (2)
- Necessary and sufficient condition for compactness of the embedding operator. (2005) (2)
- Non-uniqueness of the solution to an inverse problem in geophysics (1986) (2)
- Representation of solutions to Helmholtz's equation (1984) (2)
- An inverse problem for Helmholtz's equation III (1989) (2)
- The Scattering Problem Analyzed by Means of an Integral Equation of the First Kind (1996) (2)
- Inverse Scattering on the Half-Line Revisited (2015) (2)
- Krein's method in inverse scattering (1999) (2)
- Fixed-energy inverse scattering (2008) (2)
- A singular integral equation for electromagnetic wave scattering (2009) (1)
- Dynamical systems method for solving nonlinear equations with non-smooth monotone operators (2004) (1)
- Multidimensional Inverse Scattering with Fixed-Energy Data (1997) (1)
- Abel-Type Integral Equation (2020) (1)
- On the Relation between the S-matrix and the Spectrum of the Interior Laplacian (2009) (1)
- Optimal solution of the problem of synthesizing a linear antenna (1969) (1)
- Scattering amplitude and the inverse scattering problem for a class of non-convex obstacles (1985) (1)
- DSM for solving ill-conditioned linear algebraic systems (2006) (1)
- A NUMERICAL METHOD FOR SOLVING NONLINEAR PROBLEMS (1999) (1)
- Dimension reduction in representation of the data (2009) (1)
- Integral Equations Arising in the Open System Theory (1980) (1)
- Consistency of a rank test against general alternatives of change points (surfaces) and continuous trend (1996) (1)
- Series that can be differentiated term-wise m times if the function is m-smooth (2011) (1)
- AND APPLICATIONS TO INVERSE SCATTERING (1999) (1)
- DSM for General Nonlinear Operator Equations (2012) (1)
- Heat Transfer in a Complex Medium (2016) (1)
- A Criterion for Property C (1993) (1)
- Hard Implicit Function Theorem via the DSM (2009) (1)
- EM wave scattering on a set of small particles and creation of materials with desired refraction coefficient and magnetic permeability (2016) (1)
- Attractors of strongly dissipative systems (2009) (1)
- Inverse scattering problem (2020) (1)
- Inverse scattering: asymptotic analysis (1986) (1)
- Comments on the letter of P.Sabatier "An erroneous statement" (2003) (1)
- Property C and applications (1993) (1)
- A numerical solution of inverse scattering problem with non-over-determined data (2018) (1)
- Inverse scattering at fixed energy for exponentially decreasing potentials (1993) (1)
- Asymptotics of resonant states (1982) (1)
- Calculation of the characteristic of electromagnetic-wave scattering by small bodies having an arbitrary shape. II (1971) (1)
- Scattering of electromagnetic waves by small bodies of arbitrary shape (1969) (1)
- A numerical approach to 3-D inverse scattering problems (1994) (1)
- Finding singular support of a function from its tomographic data (1995) (1)
- INEQUALITIES FOR NORMS OF SOME INTEGRAL OPERATORS (1998) (1)
- Inverse geophysical and potential scattering on a small body (1995) (1)
- Determination of the shape of the ear channel (2005) (1)
- The shape of the ear canal (2006) (1)
- On the DSM Newton-type method (2012) (1)
- An approximate method for solving the inverse scattering problem with xed-energy data (1999) (1)
- Scalar scattering by an ensemble of small bodies having an arbitrary shape (1974) (1)
- INVERSION OF INDUCTION LOGGING MEASUREMENTS (1986) (1)
- Remarks about inverse diffraction problem (1984) (1)
- Many-body wave scattering and creating materials with a desired refraction coefficient (2009) (1)
- Justification of the T-matrix approach (1982) (1)
- Recovery of small electromagnetic inhomogeneities from boundary measurements on part of the boundary (2001) (1)
- AN INVERSE SCATTERING PROBLEM WITH PART OF THE FIXED-ENERGY PHASE (1999) (1)
- Scattering by Small Bodies (1986) (1)
- Representation of big data by dimension reduction (2017) (1)
- Old Symmetry Problem Revisited (2018) (1)
- Symmetry Problems. The Navier-Stokes Problem. (2019) (1)
- Inverse Scattering Problem for the Maxwell's Equations (2012) (1)
- A singular perturbation problem (2004) (1)
- Recovery of the Potential from I-Function (2014) (0)
- Creating Materials with a Desired Refraction Coefficient (Second Expanded Edition) (2020) (0)
- Singularities of the inverse of Fredholm operators (1986) (0)
- Iterative Methods of Solving Some Integral Equations Basic in the Theory of Static Fields: Mathematical Results (1982) (0)
- Estimation and Scattering Theory (2005) (0)
- Inverse scattering problem with underdetermined data. (2014) (0)
- ON THE UNIQUENESS OF SUPPORTS OF ANALYTIC FUNCTIONALS (2017) (0)
- Electromagnetic wave scattering by a small impedance body of an arbitrary shape (2014) (0)
- Convergence of the T-matrix scheme (1983) (0)
- Applications of Analytic Continuation to Tables of Integral Transforms and Some Integral Equations with Hyper-Singular Kernels (2022) (0)
- Solution to 3D inverse scattering problem with non-over-determined data (2016) (0)
- A uniqueness theorem for a goursat-type problem (1992) (0)
- SPECTRUM OF SCHROEDINGER'S OPERATOR USED IN THE OPTICAL MODEL OF THE NUCLEUS. (1966) (0)
- DSM for general nonlinear equations (2012) (0)
- Ju n 20 06 Many-body wave scattering by small bodies (2007) (0)
- Uniqueness of the solution to inverse scattering problem with non-overdetermined data (2011) (0)
- Property $C$ and applications to inverse problems (2009) (0)
- Short-Wavelength Diffraction Theory (V. M. Babič and V. S. Buldyrev) (1993) (0)
- Fredholm Alternative and a Characterization of Fredholm Operators (2005) (0)
- The T-Matrix Scheme (1986) (0)
- DSM and Nonsmooth Operators (2012) (0)
- Uniqueness theorems for Goursat-type problems (1994) (0)
- Calculating the Polarizability Tensor (1982) (0)
- DSM and Unbounded Operators (2012) (0)
- Stable Solutions of Hammerstein‐Type Integral Equations (2012) (0)
- SOME OPEN PROBLEMS IN ANALYSIS (2009) (0)
- Recovery of small inhomogeneities from partial boundary measurements (2002) (0)
- On a new notion of the solution to an ill-posed problem (2010) (0)
- On non-over-determined inverse problems (2020) (0)
- DSM for Solving Nonlinear Operator Equations in Banach Spaces (2012) (0)
- The Australian Journal of Mathematical Analysis and Applications (2007) (0)
- EXPANSION IN EIGENFUNCTIONS OF A NON-SELF-ADJOINT SCHROEDINGER'S OPERATOR. (1970) (0)
- DSM of Newton‐Type for Solving Operator Equations with Minimal Smoothness Assumptions (2012) (0)
- On the analytic functions (2022) (0)
- Convergence of Time-Dependent Turing Structures (2012) (0)
- Numerical Computation of Some Inverse Scattering Problems In Geophysics (1989) (0)
- Creating media with prescribed permeability using the asymptotic solution to EM wave scattering problem (2014) (0)
- Boundary integral equation for electromagnetic wave scattering by a homogeneous body of arbitrary shape (2009) (0)
- An essay on some problems of approximation theory (2003) (0)
- ON SOME MULTIPLE FUNCTION SERIES AND THE SOLUTION OF THE UNIQUENESS PROBLEM FOR PRINGSHEIM CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES (2017) (0)
- Property C for ODE and Applications to an Inverse Problem for a Heat Equation (2009) (0)
- Corrigendum to “Theory of hyper-singular integrals and its application to the Navier-Stokes problem, Contrib. Math. 2 (2020) 47–54” (2021) (0)
- Appendix B: Bibliographical Notes (2012) (0)
- DSM of Gradient Type (2012) (0)
- Acta Appl.Math. 28, N1,(1992), 1-42. STABILITY ESTIMATES IN INVERSE SCATTERING (0)
- A numerical method for solving some nonlinear problems (2000) (0)
- ON THE DOMAIN FREE OF RESONANCE POLES IN THE PROBLEM OF SCATTERING BY A THREE-DIMENSIONAL POTENTIAL (1966) (0)
- Completeness of the scattering amplitudes (2006) (0)
- Experimental verification of the method for creating materials (2020) (0)
- ON THE DSM VERSION OF NEWTON’S METHOD (2011) (0)
- Ill‐Posed Problems (2012) (0)
- DSM for Well‐Posed Problems (2012) (0)
- Remark on the theory of reproducing kernels (1999) (0)
- A solution to the Pompeiu problem (2013) (0)
- Slow manifolds for dissipative dynamical systems (2010) (0)
- ON UNIQUENESS OF THE SOLUTION OF BELLMAN'S EQUATION (2017) (0)
- Global existence of solutions to nonlinear Volterra integral equations (2019) (0)
- Test of Randomness and its Applications (2020) (0)
- Global existence of solutions to differential equations (2019) (0)
- Discrete L'Hospital's rule (2005) (0)
- Applic. Analysis, 81, N4, (2002), 929-937 (2003) (0)
- DSM for Operators Satisfying a Spectral Assumption (2012) (0)
- 2 Wave scattering by one small body (2011) (0)
- Erratum : entitled: Recovery of small electromagnetic inhomogeneities from partial boundary measurements published in Série IIb, t. 330, n 3, pp. 199-205 (2002) (0)
- Existence, uniqueness and stability of solutions to some nonlinear oscillations problems (1981) (0)
- Estimates of Solutions to Nonlinear Evolution Equations (2018) (0)
- A symmetry property in harmonic analysis (2020) (0)
- NUCLEAR CONDITIONS OF INTEGRAL OPERATORS AND THE EXISTENCE OF AN S MATRIX IN THE SCALAR DISPERSION PROBLEM AT THE INFINITE BOUNDARY AND AT LOCAL POTENTIAL (1965) (0)
- Appendix A: Auxiliary Results from Analysis (2012) (0)
- Ja n 20 06 Dynamical systems method for solving linear ill-posed problems (0)
- DSM of Simple Iteration Type (2012) (0)
- A ug 2 00 4 On deconvolution problems : numerical aspects (2004) (0)
- Distribution of particles creating “smart” material (2008) (0)
- MATH 994A - FALL 2001 Topics in Applied Math (2001) (0)
- problems with fixed-energy data. ∗† (2000) (0)
- Formulation of Basic Results (2005) (0)
- Low Frequency Asymptotics (2005) (0)
- New proof of Weyl's theorem (2001) (0)
- Estimation of the thermal resistance for bodies of complex shape (1967) (0)
- Asymptotics of a class of integrals (2013) (0)
- Modified Rayleigh Conjecture (2018) (0)
- Wave-focusing materials (2020) (0)
- Property $C$ with constraints for PDE (1996) (0)
- DSM in Banach Spaces (2012) (0)
- Asymptotic of some integral (2013) (0)
- Analysis of the Newton-Sabatier scheme for inverting the fixed-energy shifts (2001) (0)
- N A ] 4 D ec 2 00 7 Solving ill-conditioned las by DSM (2007) (0)
- A Schr\"odinger singular perturbation problem (2005) (0)
- Investigation of a Class of Nonlinear Integral Equations and Applications to Nonlinear Network Theory (1980) (0)
- DSM for Solving Linear Equations with Finite‐Rank Operators (2012) (0)
- NONLINEAR EQUATIONS AND PASSIVE NETWORKS (1982) (0)
- Time-Dependent Problems (1986) (0)
- Many-Body Wave Scattering Problems for Small Scatterers and Creating Materials with a Desired Refraction Coefficient (2018) (0)
- Spectral Properties of Schrodinger-type Operators and Large-time Behavior of the Solutions to the Corresponding Wave Equation (2012) (0)
- Calculating Electric Capacitance (1982) (0)
- Global existence and estimates of the solutions to nonlinear integral equations (2016) (0)
- Scattering by Potentials (2018) (0)
- O ct 2 00 0 Linear ill-posed problems and dynamical systems ∗ † (2001) (0)
- Calculation of the capacitance of a conductor which is placed in an inhomogeneous anisotropic dielectric medium (1972) (0)
- Stability of solutions to abstract differential equations (2010) (0)
- Piecewise-constant potentials with practically the same fixed-energy phase shifts (2000) (0)
- Inverse scattering problem with fixed energy and fixed incident direction (2006) (0)
- DSM and Linear Ill‐Posed Problems (2012) (0)
- Proceedings of Colloquium on Stable Solutions of Some Ill-Posed Problems, October 9, 1979. (1980) (0)
- Numerical Solution of the Basic Integral Equation in Distributions (2005) (0)
- Analytic theory of random fields estimation and filtering (1984) (0)
- DSM and Iterative Methods (2012) (0)
- Ja n 20 03 A characterization of unbounded Fredholm operators . (0)
- Large-time behavior of solutions to evolution problems (2012) (0)
- On the DS conjecture (2008) (0)
- Iterative Processes for Solving Fredholm’s Integral Equations for the Static Problems (1982) (0)
- Introduction (2020) (0)
- Se p 20 06 Completeness of the set of scattering amplitudes ∗ † ‡ (2006) (0)
- Uniqueness of the harmonic coordinate system in general relativity (1980) (0)
- Author's Comment (1990) (0)
- DSM of Gradient Type for Solving Linear Operator Equations (2012) (0)
- Uniqueness theorems for inverse obstacle scattering in Lipschitz domains (2000) (0)
- Identification of obstacles for parabolic problems (2009) (0)
- Equisummability for linear operators in Banach spaces (1987) (0)
- Three open problems in analysis (2006) (0)
- Solving Linear Operator Equations by a Newton‐Type DSM (2012) (0)
- Iteration methods of solving some problems in thermostatics (1971) (0)
- Inverse scattering with the data at fixed energy and fixed incident direction (2013) (0)
- A theorem on entire functions (2010) (0)
- Global existence and uniqueness of the solution to a nonlinear parabolic equation (2018) (0)
- Inversion of Incomplete Tomographic Data (2020) (0)
- DSM and Newton‐Type Methods without Inversion of the Derivative (2012) (0)
- Author ' s personal copy Discrepancy principle for DSM II (2008) (0)
- Solving Linear Operator Equations by the DSM (2012) (0)
- Inequalities for the transformation operators and applications (2003) (0)
- Remarks about inverse diffraction problema ) (2013) (0)
- DSM for Monotone Operators (2012) (0)
- Approximate formulas for the polarizability tensor and the capacitance of a body having an arbitrary shape (1971) (0)
- Calculating Polarizability Tensors (2005) (0)
- Error Estimate for a Quadrature Formula for H 2 Functions (1988) (0)
- When does a double-layer potential equal to a single-layer one? (2021) (0)
- A P ] 3 1 Ja n 20 03 Inverse scattering with fixed-energy data ∗ (2004) (0)
- Investigation of Some Integral Equations Arising in Antenna Synthesis (1980) (0)
- Universality of Newton's method (2009) (0)
- Erratum: Calculating resonances (natural frequencies) and extracting them from transient fields [J. Math. Phys. 26, 1012(1985)] (1986) (0)
- A ug 2 00 4 Optimization methods in direct and inverse scattering (2004) (0)
- Numerical Problems Arising in Applications (2012) (0)
- Ja n 20 03 On a new notion of regularizer ∗ † (2003) (0)
- Inversion of low-frequency subsurface data in a finite-depth ocean (1994) (0)
- A Schrodinger singular perturbation problem (2005) (0)
- Low-Pass Filters: Commentary on a Remark by Feynman (2004) (0)
- Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions (1999) (0)
- ON HYPER-SINGULAR MULTIDIMENSIONAL EQUATIONS (2022) (0)
- On Compactness of the Embedding (2005) (0)
- On the denseness of the set of scattering amplitudes (2016) (0)
- Singular Perturbation Theory for a Class of Fredholm Integral Equations Arising in Random Fields Estimation Theory (2005) (0)
- Estimating the Size of the Scatterer (2019) (0)
- A new approach to the inverse scattering and spectral problems for the Sturm‐Liouville equation (1998) (0)
- Inverse Obstacle Scattering with Non-Over-Determined Scattering Data (2019) (0)
- Existence, Uniqueness, Stability and Calculation of the Stationary Regimes in Some Nonlinear Systems (1981) (0)
- FAST COMMUNICATION EXISTENCE OF SOLUTIONS TO AN EVOLUTION EQUATION AND A JUSTIFICATION OF THE DSM FOR EQUATIONS WITH MONOTONE OPERATORS (2010) (0)
- Investigation of Integral Equations of the Static and Quasi-Static Fields and Applications to the Scattering from Small Bodies of Arbitrary Shape (1980) (0)
- Symmetry Problems for PDE (2021) (0)
- Proof of the Schiffer's conjecture (2017) (0)
- Determination of the shape of a reflecting body from the scattering characteristics (1970) (0)
- Boundary-Value Problems in Rough Domains (2005) (0)
- Perturbation of zero surfaces (2016) (0)
- A simple proof of the closed graph theorem (2015) (0)
- A short proof of the existence of the solution to elliptic boundary problem (2015) (0)
- Completeness of the set $\{e^{ik\beta \cdot s}\}|_{\forall \beta \in S^2}$ (2017) (0)
- Wave scattering by many small impedance particles (2020) (0)
- A uniqueness theorem for entire functions (2010) (0)
- When is $F(p)$ the Laplace transform of a bounded $f(t)$? (2022) (0)
- Representation of vector fields (2015) (0)
- Existence and uniqueness of the global solution to the Navier-Stokes boundary problem (2015) (0)
- Inversion of Cone-Beam Data (2020) (0)
- Investigation of a New Class of Integral Equations and Applications to Estimation Problems (Filtering, Prediction, System Identification) (1980) (0)
- Scattering of electromagnetic waves by small impedance particles of an arbitrary shape (2015) (0)
- Differential equations (1991) (0)
- Iterative Methods: Mathematical Results (2005) (0)
- Stability of solutions to some abstract evolution equations with delay (2020) (0)
- DSM as a Theoretical Tool (2012) (0)
- Differential equations (1991) (0)
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