Vladimir G. Maz’ya

Vladimir G. Maz’ya's AcademicInfluence.com Rankings

Vladimir G. Maz’ya

Mathematics

#5764

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#8087

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Functional Analysis

#29

World Rank

#43

Historical Rank

Measure Theory

#925

World Rank

#1209

Historical Rank

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Mathematics

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Vladimir G. Maz’ya'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

Sobolev Spaces: with Applications to Elliptic Partial Differential Equations (2011) (724)
Elliptic Boundary Value Problems in Domains with Point Singularities (2002) (612)
Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (2000) (459)
On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces (2003) (316)
An iterative method for solving the Cauchy problem for elliptic equations (1991) (285)
Theory of multipliers in spaces of differentiable functions (1985) (268)
Differentiable Functions on Bad Domains (1998) (204)
On approximate approximations using Gaussian kernels (1996) (184)
Linear Water Waves: A Mathematical Approach (2002) (143)
Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations (2010) (138)
NON-LINEAR POTENTIAL THEORY (1972) (131)
Elliptic Boundary Value Problems (1984) (128)
Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems (2012) (115)
ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES (1985) (114)
Critical Hardy–Sobolev inequalities (2006) (104)
Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers (1995) (102)
Criteria of solvability for multidimensional Riccati equations (1999) (94)
The Schrödinger operator on the energy space: boundedness and compactness criteria (2002) (92)
On ship waves (1993) (87)
Lp estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains (2004) (86)
Pathological solutions to elliptic problems in divergence form with continuous coefficients (2009) (85)
The dirichlet problem in lipschitz domains for higher order elliptic systems with rough coefficients (2007) (78)
Boundary Integral Equations (1991) (77)
Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems (2014) (69)
On a question of Brezis and Marcus (2006) (69)
Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients (1968) (67)
Jacques Hadamard: A Universal Mathematician (1998) (66)
On certain integral inequalities for functions of many variables (1973) (65)
The first boundary value problem for classical equations of mathematical physics in domains with piecewise-smooth boundaries. I (in Russian) (1983) (63)
Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems (2012) (62)
Differential Equations with Operator Coefficients (1999) (61)
Asymptotic treatment of perforated domains without homogenization (2009) (61)
Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains (2003) (60)
Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings (2005) (59)
Criterion for the Lp-dissipativity of second order differential operators with complex coefficients (2004) (58)
Spectral properties of the operator bundles generated by elliptic boundary-value problems in a cone (1988) (56)
A Mathematical Approach (2002) (56)
On the regularity of domains satisfying a uniform hour–glass condition and a sharp version of the Hopf–Oleinik boundary point principle (2011) (51)
Discreteness of spectrum and positivity criteria for Schr (2003) (50)
Form boundedness of the general second‐order differential Operator (2004) (49)
Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems (2017) (48)
On Quasi-Interpolation with Non-uniformly Distributed Centers on Domains and Manifolds (2001) (47)
Sharp Hardy–Sobolev inequalities (2004) (47)
Sobolev Spaces in Mathematics I (2009) (45)
Mixed Boundary Value Problems for the Stationary Navier–Stokes System in Polyhedral Domains (2009) (45)
ON SIGN VARIATION AND THE ABSENCE OF "STRONG" ZEROS OF SOLUTIONS OF ELLIPTIC EQUATIONS (1990) (45)
Behavior, near the boundary, of solutions of the Dirichlet problem for a second-order elliptic equation in divergent form (1967) (44)
Asymptotic representation of elastic fields in a multi-structure (1995) (44)
Uniform asymptotic formulae for Green's tensors in elastic singularly perturbed domains (2007) (43)
On singularities of solutions to the Dirichlet problem of hydrodynamics near the vertex of a cone. (1994) (43)
Asymptotic behavior of solutions of elliptic equations of the second order close to a boundary. I (1971) (42)
Asymptotics of Solutions to General Elliptic Boundary Value Problems in Domains Perturbed Near Cone Vertices (2000) (42)
Coefficients in the asymptotics of the solutions of elliptic boundary-value problems in a cone (1978) (41)
Global gradient estimates in elliptic problems under minimal data and domain regularity (2014) (41)
Quasilinear elliptic problems with general growth and merely integrable, or measure, data (2017) (40)
Elliptic boundary value problems in domains with conical points (2002) (39)
ON THE SINGULARITIES OF SOLUTIONS OF THE DIRICHLET PROBLEM IN THE EXTERIOR OF A SLENDER CONE (1985) (37)
Estimates for differential operators of vector analysis involving $L^1$-norm (2008) (37)
The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO (2009) (36)
Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation (2009) (35)
PARADOXES OF LIMIT PASSAGE IN SOLUTIONS OF BOUNDARY VALUE PROBLEMS INVOLVING THE APPROXIMATION OF SMOOTH DOMAINS BY POLYGONAL DOMAINS (1987) (35)
Some counterexamples for the theory of sobolev spaces on bad domains (1995) (34)
The form boundedness criterion for the relativistic Schr (2003) (34)
Behaviour of solutions to the dirichlet problem for the biharmonic operator at a boundary point (1979) (33)
Can One See the Fundamental Frequency of a Drum? (2005) (33)
Mesoscale Asymptotic Approximations to Solutions of Mixed Boundary Value Problems in Perforated Domains (2010) (32)
Sharp Pointwise Interpolation Inequalities for Derivatives (1999) (32)
Well-posed elliptic Neumann problems involving irregular data and domains (2009) (32)
Point Estimates for Green's Matrix to Boundary Value Problems for Second Order Elliptic Systems in a Polyhedral Cone (2002) (32)
Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains (2006) (32)
Existence and regularity of positive solutions of elliptic equations of Schrödinger type (2012) (31)
The Dirichlet problem for the Stokes system (2000) (30)
Optimal second-order regularity for the p-Laplace system (2018) (30)
Discreteness of Spectrum and Strict Positivity Criteria for Magnetic Schrödinger Operators (2002) (30)
A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions (2009) (29)
Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball (2010) (29)
Uniform asymptotic formulae for Green's functions in singularly perturbed domains (2006) (28)
Pointwise estimates for Green's kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone (2004) (28)
Asymptotic analysis of a mixed boundary value problem in a multi-structure (1994) (28)
On the Agmon-Miranda maximum principle for solutions of strongly elliptic equations in domains of ℝn with conical points (1992) (28)
Infinitesimal form boundedness and Trudinger’s subordination for the Schrödinger operator (2004) (27)
Solvability of the problem on the oscillations of a fluid containing a submerged body (1978) (27)
Higher regularity in the classical layer potential theory for Lipschitz domains (2005) (27)
ON THE MAXIMUM PRINCIPLE FOR STRONGLY ELLIPTIC AND PARABOLIC SECOND ORDER SYSTEMS WITH CONSTANT COEFFICIENTS (1986) (26)
Uniform Asymptotics of Green's Kernels for Mixed and Neumann Problems in Domains with Small Holes and Inclusions (2009) (26)
On the fast computation of high dimensional volume potentials (2009) (26)
Fields in non-degenerate 1D-3D elastic multi-structures (2001) (26)
ON UNIQUE SOLVABILITY OF THE PLANE NEUMANN-KELVIN PROBLEM (1989) (26)
The Wiener test for higher order elliptic equations (2003) (26)
An elementary proof of the Brezis and Mironescu theorem on the composition operator in fractional Sobolev spaces (2002) (26)
Regularity of solutions to the polyharmonic equation in general domains (2012) (25)
Quasilinear elliptic equations and weighted Sobolev-Poincar\'{e} inequalities with distributional weights (2012) (25)
On singularities of solutions of the displacement problem of linear elasticity near the vertex of a cone (1992) (25)
The Dirichlet problem in Lipschitz domains with boundary data in Besov spaces for higher order elliptic systems with rough (2005) (25)
Neumann problems and isocapacitary inequalities (2008) (25)
On the boundedness of first derivatives for solutions to the Neumann–Laplace problem in a convex domain (2009) (25)
Boundary layer approximate approximations and cubature of potentials in domains (1999) (24)
Boundary Integral Equations on Contours with Peaks (2009) (23)
Removable singularities of bounded solutions of quasilinear elliptic equations of any order (1975) (23)
Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains (2006) (23)
Optimal estimates for the gradient of harmonic functions in the multidimensional half-space (2009) (23)
Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary (2005) (23)
Boundedness of the gradient of a solution to the Neumann–Laplace problem in a convex domain (2008) (22)
Singularities of solutions of the Neumann problem at a conical point (1989) (22)
On a Problem of BABUŠKA (Stable Asymptotics of the Solution to the DIRICHLET Problem for Elliptic Equations of Second Order in Domains with Angular Points) (1992) (22)
Numerical Solution of the Lippmann–Schwinger Equation by Approximate Approximations (2004) (22)
Conductor inequalities and criteria for Sobolev type two-weight imbeddings (2006) (22)
Approximate Wavelets and the Approximation of Pseudodifferential Operators (1999) (22)
Differentiability of Solutions to Second-Order Elliptic Equations via Dynamical Systems (2010) (21)
On stress singularities near the boundary of a polygonal crack (1991) (21)
Scattered data approximate approximations (2007) (21)
On pointwise interpolation inequalities for derivatives (1999) (21)
Criteria for validity of the maximum modulus principle for solutions of linear parabolic systems (1994) (20)
On the third boundary value problem in domains with cusps (2011) (20)
On Lp-Contractivity of Semigroups Generated by Linear Partial Differential Operators (1999) (20)
ON THE WIENER TYPE REGULARITY OF A BOUNDARY POINT FOR THE POLYHARMONIC OPERATOR (1998) (20)
Fast cubature of volume potentials over rectangular domains by approximate approximations (2013) (20)
Dirichlet problem in domains with thin bridges (1984) (20)
Solutions for Quasilinear Nonsmooth Evolution Systems in Lp (2004) (20)
ErratumErratum to: “On the Bourgain, Brezis and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces”: [J. Funct. Anal. 195 (2002) 230–238] (2003) (19)
Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients (1985) (19)
Sharp Hardy–Leray inequality for axisymmetric divergence-free fields (2007) (19)
Uniform asymptotic approximations of Green's functions in a long rod (2008) (19)
ON THE SPECTRUM OF THE OPERATOR PENCIL GENERATED BY THE DIRICHLET PROBLEM IN A CONE (1992) (19)
Boundedness and compactness criteria for the one-dimensional Schrödinger operator (2002) (19)
Mixed boundary value problems for the Navier-Stokes system in polyhedral domains (2006) (19)
Time-Marching Algorithms for Nonlocal Evolution Equations Based Upon "Approximate Approximations" (1997) (19)
Seventy Five (Thousand) Unsolved Problems in Analysis and Partial Differential Equations (2018) (18)
Estimates of Green's functions and Schauder estimates for solutions of elliptic boundary problems in a dihedral angle (1978) (18)
Isoperimetric and Isocapacitary Inequalities in the Theory of Sobolev Spaces (2003) (18)
The asymptotic form of the solutions of the integral equations of potential theory in the neighbourhood of the corner points of a contour (1984) (18)
On the Brezis and Mironescu conjecture concerning a Gagliardo–Nirenberg inequality for fractional Sobolev norms☆ (2002) (18)
Numerical Solution of Nonlinear Hypersingular Integral Equations of the Peierls Type in Dislocation Theory (1999) (18)
Beurling's theorem on a minimum principle for positive harmonic functions (1975) (17)
Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary (2003) (17)
Classes of Domains, Measures and Capacities in the Theory of Differentiable Functions (1991) (16)
Linear Water Waves: Preface (2002) (16)
Approximation of solutions to multidimensional parabolic equations by approximate approximations (2015) (16)
On the computation of multi-dimensional¶single layer harmonic potentials¶via approximate approximations (2003) (16)
Asymptotics for Solutions of Elliptic Equations in Double Divergence Form (2006) (16)
Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities. (2008) (16)
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds (2011) (16)
A maximum modulus estimate for solutions of the Navier–Stokes system in domains of polyhedral type (2007) (15)
Sobolev inequalities in arbitrary domains (2015) (15)
Green's kernels for transmission problems in bodies with small inclusions (2010) (15)
On Neumann's problem in domains with nonregular boundaries (1968) (15)
Criteria for the Lp-dissipativity of systems of second order differential equations (2006) (15)
Pointwise estimates for the polyharmonic Green function in general domains (2009) (15)
Boundary integral equations of elasticity in domains with piecewise smooth boundaries (1986) (14)
Solvability of the two-dimensional kelvin-neumann problem for a submerged circular cylinder (1997) (14)
Boundary Value Problems in Domains with Edges on the Boundary (2000) (14)
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds (2011) (14)
Gauge Optimization and Spectral Properties of Magnetic Schrödinger Operators (2006) (14)
ON AN INTEGRAL EQUATION FOR THE DIRICHLET PROBLEM IN A PLANE DOMAIN WITH CUSPS ON THE BOUNDARY (1991) (14)
Eigenvalue Problem in a Solid with Many Inclusions: Asymptotic Analysis (2016) (14)
Second-order $L^2$-regularity in nonlinear elliptic problems (2017) (13)
On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions (2020) (13)
Mesoscale Models and Approximate Solutions for Solids Containing Clouds of Voids (2015) (13)
Asymptotic behavior of the solutions of elliptic equations of the second order near a boundary. II (1972) (13)
On L p-Contractivity of Semigroups Generated by Linear Partial Differential Operators (1999) (13)
Asymptotics of the solution of the Dirichlet problem in domains with a thin crosspiece (1982) (13)
Sharp real-part theorems in the upper halfplane and similar estimates for harmonic functions (2011) (13)
Accurate cubature of volume potentials over high-dimensional half-spaces (2011) (13)
Lp-theory of boundary integral equations on a contour with outward peak (1998) (12)
Problems with oblique derivatives in regions with piecewise smooth boundaries (1971) (12)
The inverse problem of coupled thermo-elasticity (1994) (12)
On the fundamental solution of an elliptic equation in nondivergence form (2008) (12)
The vertex of a cone can be nonregular in the Wiener sense for a fourth-order elliptic equation (1986) (12)
A pointwise differential inequality and second-order regularity for nonlinear elliptic systems (2021) (11)
On the Behaviour of Solutions to the Dirichiet Problem for Second Order Elliptic Equations near Edges and Polyhedral Vertices with Critical Angles (1994) (11)
On Wiener's type regularity of a boundary point for higher order elliptic equations (1999) (11)
Extension of functions from Sobolev spaces (1983) (11)
Mesoscale Approximations for Solutions of the Dirichlet Problem in A Perforated Elastic Body (2014) (11)
Theory of a Higher-Order Sturm-Liouville Equation (1997) (11)
Approximation of Solutions of the Neumann Problem in Disintegrating Domains (1993) (11)
Approximate approximations from scattered data (2005) (11)
Modulus of continuity of a harmonic function at a boundary point (1985) (11)
Boundedness of the Hessian of a Biharmonic Function in a Convex Domain (2006) (10)
Extension of Functions in Sobolev Spaces on Parameter Dependent Domains (1996) (10)
Boundary behavior of solutions to linear and nonlinear elliptic equations in plane convex domains (2001) (10)
Criteria for the $L^{p}$-dissipativity of systems of second order differential equations (2006) (10)
Semi-analytic time-marching algorithms for semi-linear parabolic equations (1994) (10)
The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions (1995) (10)
The Integrability of Negative Powers of the Solution of the Saint Venant Problem (2012) (10)
Angle singularities of solutions to the Neumann problem for the two-dimensional Riccati's equation (1999) (10)
On Solvability of the Neumann Problem in an Energy Space for a Domain with Peak (2007) (9)
Analytic criteria in the qualitative spectral analysis of the Schroedinger operator (2007) (9)
Evaluation of the asymptotic form of the “intensity coefficients” on approaching corner or conical points* (1983) (9)
Coercive estimates and regularity of the solution of degenerate elliptic pseudodifferential equations (1970) (9)
On the Linear Water Wave Problem in the Presence of a Critically Submerged Body (2012) (9)
An asymptotic theory of higher-order operator differential equations with nonsmooth nonlinearities (2004) (9)
Second-Order Regularity for Parabolic p-Laplace Problems (2018) (9)
The behavior of the solutions of quasilinear elliptic boundary-value problems in the neighborhood of a conical point (1977) (9)
Uniqueness of the solution to an inverse thermoelasticity problem (2009) (9)
Lp-theory of a boundary intelgral equation on a cuspidal contour (1997) (9)
Asymptotic analysis of the Navier–Stokes system in a plane domain with thin channels (2000) (9)
Strong capacity-estimates for “fractional” norms (1983) (9)
Behavior of the gradient of the solution of the Dirichlet problem for the biharmonic equation near a boundary point of a three-dimensional domain (1990) (8)
Polyharmonic capacity and Wiener test of higher order (2014) (8)
Sharp real-part theorems for high order derivatives (2012) (8)
Singularities in Solutions to Mathematical Physics Problems in Non-Smooth Domains (1996) (8)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the asymptotic behaviour of solutions of the Dirichlet problem in a domain with a thin tube excluded (1981) (8)
Sobolev spaces In mathematics I : sobolev type inequalities (2009) (8)
Lp solvability of the stationary stokes problem in domains with conical singularity in any dimension (2010) (7)
Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains (2010) (7)
Optimal Pointwise Stimates for Derivatives of Solutions to Laplace, Lamè, and Stokes Equations (2013) (7)
Uniform asymptotics of Green's kernels in perforated domains and meso-scale approximations (2012) (7)
Degenerate elliptic pseudodifferential operators on a smooth manifold without boundary (1969) (7)
On the Occasion of His 65th Anniversary (2003) (7)
IMBEDDING THEOREMS FOR SOBOLEV SPACES ON DOMAINS WITH PEAK AND ON HÖLDER DOMAINS (2007) (7)
Characterization of Multipliers in Pairs of Besov Spaces (2004) (7)
Unique solvability of the integral equation for harmonic simple layer potential on the boundary of a domain with a peak (2009) (7)
Time-marching algorithms for initial-boundary value problems based upon “approximate approximations” (1995) (7)
Sharp Bohr Type Real Part Estimates (2007) (7)
Elliptic boundary-value problems in domains of the exterior-of-a-cusp type (1986) (7)
Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ode criterion (2011) (6)
Functions with a finite dirichlet integral in a domain with cusp points on the boundary (1984) (6)
High accuracy periodic solutions to the Sivashinsky equation (2003) (6)
Computation of volume potentials over bounded domains via approximate approximations (2012) (6)
Accretivity of the General Second Order Linear Differential Operator (2018) (6)
Approximation in the mean by harmonic functions (1975) (6)
Solvability of a boundary integral equation on a polyhedron (2013) (6)
Invertibility of boundary integral operators of elasticity on surfaces with conic points (2012) (6)
L1,p–Coercitivity and Estimates of the Green Function of the Neumann Problem in a Convex Domain (2014) (6)
Brezis–Gallouet–Wainger type inequality for irregular domains† (2011) (6)
On solvability of boundary integral equations of potential theory for a multidimensional cusp domain (2010) (5)
Note on a Nonstandard Eigenfunction of the Planar Fourier Transform (2017) (5)
Characteristic Cauchy problem for a hyperbolic equation (1985) (5)
An analogue of the wiener criterion for the zaremba problem in a cylindrical domain (1982) (5)
Asymptotic solution to the Dirichlet problem for a two‐dimensional Riccatti's type equation near a corner point (2004) (5)
First boundary value problem for the equations of hydrodynamics in a domain with a piecewise-smooth boundary (1983) (5)
Essential norms and localization moduli of Sobolev embeddings for general domains (2008) (5)
A new type of integral equations related to the co-area formula (Reduction of dimension in multi-dimensional integral equations) (2007) (5)
A fast solution method for time dependent multidimensional Schrödinger equations (2016) (5)
Estimates for kernels of inverse operators of integral equations of elasticity on surfaces with conic points (2012) (5)
Conic singularities of solutions to problems in hydrodynamics of a viscous fluid with a free surface (1998) (5)
Asymptotics of the Solution of a Boundary Integral Equation Under a Small Perturbation of a Corner (1992) (5)
Boundary Behavior of Solutions to Elliptic Equations in General Domains (2018) (5)
Criteria for Validity of the Maximum Norm Principle for Parabolic Systems (1999) (5)
Quasilinear elliptic equations on noncompact Riemannian manifolds (2017) (4)
Analysis IV: Linear and Boundary Integral Equations (2012) (4)
Traces of functions with summable gradient in a domain with a peak summit on the boundary (1989) (4)
The -dissipativity of first order partial differential operators (2017) (4)
On the Fredholm radius of integral operators of potential theory (1993) (4)
Dynamic singular perturbation problems for multi-structures (2000) (4)
Accurate computation of the high dimensional diffraction potential over hyper-rectangles (2018) (4)
Wiener Type Regularity of a Boundary Point for the 3D Lamé System (2009) (4)
A criterion for the regularity of the infinitely distant point for the Zaremba problem in a half-cylinder (in Russian) (1988) (4)
Sobolev inequalities for the symmetric gradient in arbitrary domains (2019) (4)
Existence and uniqueness of an energy solution to the Dirichlet problem for the Laplace equation in the exterior of a multi-dimensional paraboloid (2011) (4)
On the solvability of the Neumann problem in domains with peak (2009) (4)
Elliptic Boundary Value Problems with Rapidly Oscillating Coefficients (2000) (4)
Criteria for validity of the maximum modulus principle for solutions of linear strongly elliptic second order systems (1993) (4)
Semi-bounded Partial Differential Operators (2014) (4)
Accretivity and form boundedness of second order differential operators (2019) (4)
A Direct Method for Boundary Integral Equations on a Contour with a Peak (2003) (4)
Asymptotics of the densities of harmonic potentials near the apex of a cone (in Russian) (1989) (4)
Criterion for the functional dissipativity of second order differential operators with complex coefficients (2020) (4)
Notes on Hölder Regularity of a Boundary Point with Respect to an Elliptic Operator of Second Order (2014) (4)
On 'power-logarithmic' solutions to the Dirichlet problem for the Stokes system in a dihedral angle (1997) (4)
The 𝐿^{𝑝}-dissipativity of certain differential and integral operators (2017) (4)
Fast cubature of high dimensional biharmonic potential based on approximate approximations (2018) (4)
Boundary Layer Approximate Approximations for Cubature of Potentials (2000) (3)
Potentials of Gaussians and approximate wavelets (2007) (3)
Asymptotic form of the stress intensity coefficients in quasistatic temperature problems for a domain with a cut (1985) (3)
Approximation of Solutions to Nonstationary Stokes System (2020) (3)
Gilbarg-Serrin equation and Lipschitz regularity (2021) (3)
Stable asymptotics of the solution to the Dirichlet problem for elliptic equations of second order in domains with angular points or edges (1992) (3)
On sharp Agmon-Miranda maximum principles (2020) (3)
Boundary characteristic point regularity for Navier-Stokes equations: Blow-up scaling and Petrovskii-type criterion (a formal approach) (2011) (3)
Meso-Scale Approximations of Fields Around Clusters of Defects (2018) (3)
Asymptotic solutions of elliptic boundary-value problems when the domain is varied close to conical points (1979) (3)
Sharp parametric estimates for analytic and harmonic functions related to Hadamard-Borel-Caratheodory inequalities (2004) (3)
The continuity and boundedness of functions from Sobolev spaces (1976) (3)
Integral and isocapacitary inequalities (2008) (3)
Pointwise Inequalities for Elliptic Boundary Value Problems (2015) (3)
Sobolev spaces in mathematics II : applications in analysis and partial differential equations (2009) (3)
Approximate Hermite quasi-interpolation (2008) (3)
Sharp conditions for the classical asymptotic behaviour near a point for solutions to quasilinear elliptic systems (2004) (3)
Criterion for the functional dissipativity of the Lamé operator (2021) (3)
Approximation and Capacities (1984) (3)
The Dirichlet problem in a cone (2000) (2)
Basic Properties of Sobolev Spaces (1998) (2)
Sharp estimates for the gradient of solutions to the heat equation (2018) (2)
A survey of pointwise interpolation inequalities for integer and fractional derivatives (2003) (2)
Asymptotics of a singular solution to the Dirichlet problem for an elliptic equation with discontinuous coefficients near the boundary (2)
Water-wave problem for a vertical shell (2001) (2)
Elliptic Boundary Value Problems in Domains with Smooth Boundaries, in a Cylinder, and in Domains with Cone Vertices (2000) (2)
On certain hybrid iterative methods for solving boundary value problems (1994) (2)
On Eigenfunctions of the Fourier Transform (2018) (2)
Traces of the functions of S. L. Sobolev spaces on small and large components of a boundary (1989) (2)
Generalized Poisson integral and sharp estimates for harmonic and biharmonic functions in the half-space (2017) (2)
Boyarsky–Meyers Estimate for Solutions to Zaremba Problem (2022) (2)
Second Order Differentiability for Solutions of Elliptic Equations in the Plane (2013) (2)
Solvability of boundary singular integral operators of elasticity on surfaces with conic points (2013) (2)
The spectrum of water waves produced by moving point sources, and a related inverse problem (2003) (2)
Asymptotics of Solutions of Difference Equations with Variable Coefficients (1993) (2)
Solvability criteria for the Neumann $p$-Laplacian with irregular data (2019) (2)
On representation of the solution of the Neumann problem in a domain with peak by the harmonic simple layer potential (2009) (2)
Fast computation of elastic and hydrodynamic potentials using approximate approximations (2020) (2)
A collection of sharp dilation invariant inequalities for differentiable functions (2008) (2)
On the solvability of the Neumann problem for a planar domain with a peak (2008) (2)
Continuity and Boundedness of Functions in Sobolev Spaces (2011) (2)
Localization Moduli of Sobolev Embeddings for General Domains (2011) (2)
Estimates for kernels of inverse operators of integral equations of elasticity on surfaces with conic points (2012) (2)
Boyhood (2013) (2)
Estimates for Green ' s matrix of boundary value problems for theStokes system in a polyhedral oneby (2)
Pointwise Interpolation Inequalities for Riesz and Bessel Potentials (2000) (2)
Tensor product approximations of high dimensional potentials (2009) (2)
Sharp pointwise estimates for solutions of strongly elliptic second order systems with boundary data from L p (2007) (2)
Traces of multipliers in pairs of weighted Sobolev spaces (2005) (1)
Boundary singularities of solutions to quasilinear elliptic equations (1999) (1)
Traces of functions from Sobolev spaces (2000) (1)
A survey of functional and Lp-dissipativity theory (2021) (1)
Criteria for Invariance of Convex Bodies for Linear Parabolic Systems (2014) (1)
Fast computation of the multidimensional fractional Laplacian (2021) (1)
Boundary value problems for second order systems in a polyhedral cone (2010) (1)
Thermal shock in a domain with a crack (1988) (1)
Invertibility of boundary integral operators of elasticity on surfaces with conic points (2012) (1)
Best Constants in the Miranda-Agmon Inequalities for Solutions of Elliptic Systems and the Classical Maximum Modulus Principle for Fluid and Elastic Half-spaces (2003) (1)
Some other cubature problems (2007) (1)
Differential equations of my young years (2014) (1)
A quasicommutativity property of the poisson and composition operators (2009) (1)
Traces and Extensions of Multipliers in Pairs of Sobolev Spaces (2000) (1)
Sharp Geometric Maximum Principles for Semi-Elliptic Operators with Singular Drift (2011) (1)
Asymptotics of the intensity factors for stresses induced by heat sources (1994) (1)
Asymptotic Expansions of Eigenvalues of Classic Boundary Value Problems (2000) (1)
Differentiability Properties of the Symbol of a Generalized Riesz Potential with Homogeneous Characteristic (2019) (1)
The Dirichlet Problem in Domains with Thin Ligaments (2000) (1)
In honour of professor Solomon G. Mikhlin on the occasion of his seventieth birthday (1978) (1)
Maximum modulus principle for parabolic systems (2012) (1)
Elliptic boundary value problems in smooth domains (2002) (1)
Dirichlet and Neumann Problems in Domains with Singularly Perturbed Boundaries (2000) (1)
Differentiability of Solutions to the Neumann Problem with Low-Regularity Data via Dynamical Systems (2016) (1)
Boundary Integral Equations of Plane Elasticity in Domains with Peaks (2001) (1)
Sharp pointwise estimates for the gradients of solutions to linear parabolic second-order equation in the layer (2019) (1)
Asymptotic analysis of surface waves due to high-frequency disturbances (1997) (1)
On Carleson’s Uniqueness Theorem for Analytic Functions with a Finite Dirichlet Integral (1971) (1)
Semisubmerged Bodies, II (2002) (1)
On approximate approximations using Gaussian kernelsVladimir (1996) (1)
Boundedness of the gradient and Wiener test for the solutions of the biharmonic equation (2007) (1)
Invariant convex bodies for strongly elliptic systems (2014) (1)
The Neumann problem in a cone (2000) (1)
L1,p–Coercitivity and Estimates of the Green Function of the Neumann Problem in a Convex Domain (2014) (0)
Submerged Obstacles: Existence and Properties of Velocity Potentials (2002) (0)
The Dirichlet problem for strongly elliptic systems in a dihedron (2010) (0)
Integrability of Functions in the Space L^{1}_{p}(\varOmega ) (2011) (0)
The Miranda-Agmon maximum principle (2010) (0)
Mathematics and Other Activities (2014) (0)
BOUNDARY VALUES OF SOBOLEV FUNCTIONS ON NON-LIPSCHITZ DOMAINS BOUNDED BY LIPSCHITZ SURFACES (1998) (0)
Boris Rufimovich Vainberg (2019) (0)
Analytic function theory (1999) (0)
Maximum modulus principle for second order strongly elliptic systems (2012) (0)
Communications of the Moscow Mathematical Society: on the Characteristic Cauchy Problem for a Hyperbolic Equation (1980) (0)
The Functional Dissipativity of Certain Systems of Partial Differential Equations (2022) (0)
Linear Water Waves: Two-Dimensional Problem for a Surface-Piercing Body (2002) (0)
Family and Early Childhood (2014) (0)
A Variant of Capacity (2011) (0)
Horizontally Periodic Trapped Waves (2002) (0)
Boundary Integral Equations of Plane Elasticity in Domains with Peaks. Addendum (2002) (0)
Asymptotics of the spectrum of operator pencils generated by general boundary value problems in an angle (2000) (0)
Mikhail Aleksandrovich Shubin (2020) (0)
General Asymptotic Representation (1999) (0)
High School Life (2014) (0)
Numerical algorithms based upon approximate approximations — non-linear problems (2007) (0)
Pointwise Interpolation Inequalities for Riesz and Bessel Potentials * (2019) (0)
Weighted Positivity and Other Related Results (2014) (0)
Approximation of Solutions to Equations in Static Thermoelasticity (2022) (0)
Certain Function Spaces, Capacities and Potentials (2011) (0)
Seventy Five (Thousand) Unsolved Problems in Analysis and Partial Differential Equations (2018) (0)
Local square summability of convolutions (1986) (0)
Basic equation with constant coefficients (1997) (0)
Hadamard’s last works (1999) (0)
$L^p$-dissipativity of Scalar Second-order Operators with Complex Coefficients (2014) (0)
Prerequisites on operators acting into finite dimensional spaces (2012) (0)
Linear Water Waves: Waves Caused by Rapidly Stabilizing and High-Frequency Disturbances (2002) (0)
Mixed Boundary Value Problems in Multiply-Perforated Domains (2013) (0)
Friedrichs-type inequalities in arbitrary domains (2020) (0)
Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020 (2020) (0)
Asymptotics of solutions at infinity (1997) (0)
BOUNDARY VALUES OF FUNCTIONS IN SOBOLEV SPACES FOR DOMAINS WITH PEAKS (1998) (0)
Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems (2014) (0)
Optimal Pointwise Stimates for Derivatives of Solutions to Laplace, Lamè, and Stokes Equations (2014) (0)
Complete Asymptotic Expansions Under Exponential and Power Perturbations of A(D t ) (1999) (0)
Maximum modulus principle for parabolic systems with zero boundary data (2012) (0)
Linear Water Waves: Introduction: Basic Theory of Surface Waves (2002) (0)
Approximate approximations on nonuniform grids (2007) (0)
Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems (2018) (0)
Green's function for the operator M(∂ t )−ω(t) (1997) (0)
Variants and Corollaries of the Asymptotic Theory (2000) (0)
Angle and conic singularities of harmonic functions (2000) (0)
Maximum norm principle with respect to smooth norms for parabolic systems (2012) (0)
Regularity of solutions to the polyharmonic equation in general domains (2013) (0)
Various basis functions — examples and constructions (2007) (0)
Linear Water Waves: Submerged Obstacles (2002) (0)
Approximation of Solutions to Nonstationary Stokes System (2019) (0)
Fast computation of elastic and hydrodynamic potentials using approximate approximations (2020) (0)
In memory of Siegfried Prößdorf (2001) (0)
TRACES AND EXTENSIONS OF MULTIPLIERS IN THE SPACE $ W_p^l$ (1979) (0)
Sharp estimates for the gradient of the generalized Poisson integral for a half-space (2017) (0)
Dirichlet and Neumann Problems for the Laplace Operator in Domains with Corners and Cone Vertices (2000) (0)
Weighted Positivity of Second Order Elliptic Systems (2007) (0)
Sharp constant in the Miranda-Agmon type inequality for derivatives of solutions to higher order elliptic equations (2012) (0)
Sharp pointwise estimates for analytic functions by the L p -norm of the real part (2004) (0)
Partial differential equations (1999) (0)
Fe b 20 06 Criteria for the L p-dissipativity of systems of second order differential equations (2006) (0)
Existence and regularity of positive solutions to elliptic equations of Schr\"{o}dinger type (2011) (0)
Other boundary value problems for the Lamé system (2000) (0)
The Dirichlet problem for the Lamé system (2000) (0)
Sharp constants in the Miranda-Agmon inequalities for solutions of certain systems of mathematical physics (2012) (0)
Sharp pointwise estimates for directional derivatives and Khavinson’s type extremal problems for harmonic functions (2012) (0)
Existence and regularity of positive solutions of elliptic equations of Schrödinger type (2012) (0)
Elliptic boundary value problems in weighted Sobolev spaces with nonhomogeneous norms (2002) (0)
Applications to the Case of Perturbations Vanishing at Infinity (1999) (0)
Uniqueness and solvability properties of the operator M(∂t−ω(t) (1997) (0)
Sharp real-part theorems for high order derivatives (2012) (0)
Bounds for eigenfunctions of the Neumann p-Laplacian on noncompact Riemannian manifolds (2022) (0)
Sharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer (2020) (0)
Corollaries of Previous Results Under Special Assumptions on L(t, D t ) (1999) (0)
On Eigenfunctions of the Fourier Transform (2018) (0)
Uniqueness of the solution of an inverse problem of thermoelasticity (2009) (0)
Maximal Banach algebra in spaces of multipliers between Bessel potential spaces (2001) (0)
Boundary value problem for the Stokes system in a dihedron (2010) (0)
EXTENSION OF FUNCTIONS TO THE EXTERIOR OF A DOMAIN WITH THE VERTEX OF A PEAK ON THE BOUNDARY (1998) (0)
Several Simple Eigenvalues on the Line (1999) (0)
Solutions in a Local Sobolev Space (1999) (0)
The operator M(∂t)−ω0 with constant ω0 (1997) (0)
EXAMPLES OF “BAD” DOMAINS IN THE THEORY OF SOBOLEV SPACES (1998) (0)
Mixed boundary value problems for the Stokes system in a polyhedral cone (2010) (0)
Second-Order Regularity for Parabolic p-Laplace Problems (2019) (0)
N A ] 7 J an 2 01 3 Fast cubature of volume potentials over rectangular domains (2013) (0)
Cubature over bounded domains (2007) (0)
Numerical Simulations Based on the Asymptotic Approximations (2013) (0)
On Modulus of Continuity of a Solution to the Dirichlet Problem Near Nonregular Boundary (2022) (0)
Solvability of a boundary integral equation on a polyhedron (2013) (0)
Asymptotic Formulae for Solutions of Boundary Integral Equations Near Peaks (2010) (0)
Power-Exponential Zeros (1999) (0)
Note on a Nonstandard Eigenfunction of the Planar Fourier Transform (2017) (0)
Variants and extensions (2002) (0)
Reduction to a First Order System (1999) (0)
Two-Weight L 2-Estimates for Equations with Variable Coefficients (1999) (0)
The Dirichlet problem in a bounded domain of polyhedral type (2010) (0)
Estimates for Differential Operators in Half-space (2019) (0)
Approximation in Weighted Sobolev Spaces (2011) (0)
Maximum norm principle for parabolic systems without lower order terms (2012) (0)
Mesoscale Asymptotic Approximations in the Dynamics of Solids with Defects (2022) (0)
Other Examples of Asymptotic Approximations of Green’s Functions in Singularly Perturbed Domains (2013) (0)
Accretivity of the General Second Order Linear Differential Operator (2019) (0)
Boundary value problems for second order systems in a bounded polyhedral domain (2010) (0)
More general grids (2007) (0)
Remembering Erhard Meister (2004) (0)
The norm and the essential norm for double layer vector-valued potentials (2012) (0)
Homogenization of a Differential Operator on a Fine Periodic Net of Curves (2000) (0)
Elliptic boundary value problems in domains with inside cusps (2002) (0)
Boundary value problems for second order systems in a dihedron (2010) (0)
The Case of a Single Multiple Eigenvalue (1999) (0)
Generalizations for Functions on Manifolds and Topological Spaces (2011) (0)
The Fundamental Solution of an Elliptic Equation with Singular Drift (2022) (0)
Index of the closure of the operator of the Dirichlet problem in a domain with an irregular boundary (1978) (0)
Calculus of variations and functionals (1999) (0)
Higher-order Differential Operators in L^p (2014) (0)
Green’s Function for the Dirichlet Boundary Value Problem in a Domain with Several Inclusions (2013) (0)
BOUNDARY VALUES OF FUNCTIONS WITH FIRST DERIVATIVES IN Lp ON PARAMETER DEPENDENT DOMAINS (1998) (0)
Connection of Solutions Corresponding to Different Strips (1999) (0)
Variants and Extensions of the Previous Theory (1999) (0)
Second Order Differentiability for Solutions of Elliptic Equations in the Plane (2013) (0)
Elliptic boundary value problems in an infinite cylinder (2002) (0)
Pointwise Interpolation Inequalities for Derivatives and Potentials (2011) (0)
Asymptotic Behaviour of Energy Integrals for Small Perturbations of the Boundary Near Corners and Isolated Points (2000) (0)
Boundary value problems for ordinary differential equations on the half-axis (2002) (0)
Mixed boundary value problems for the Stokes and Navier-Stokes systems in a bounded domain of polyhedral type (2010) (0)
A pointwise differential inequality and second-order regularity for nonlinear elliptic systems (2021) (0)
The Dirichlet problem for strongly elliptic systems in a cone with edges (2010) (0)
Homogeneous Solutions of Boundary Value Problems in the Exterior of a Thin Cone (2000) (0)
In the 30s (1999) (0)
Boundary Value Problems of Mathematical Physics in Thin Domains (2000) (0)
Elasticity and hydrodynamics (1999) (0)
After the great war (1999) (0)
Two-Weight L 2 -Estimates (1999) (0)
Space of Functions of Bounded Variation (2011) (0)
Approximation of integral operators (2007) (0)
Conductor and Capacitary Inequalities with Applications to Sobolev-Type Embeddings (2011) (0)
Asymptotics of Solutions to Classical Boundary Value Problems in a Domain with Thin Cavities (2000) (0)
Linear Water Waves: Green's Functions (2002) (0)
Approximation of solutions to non-stationary Stokes system (2019) (0)
Asymptotic Behaviour of Energy Integrals for Particular Problems of Mathematical Physics (2000) (0)
The Case of One Simple Eigenvalue on the Line (1999) (0)
Gradient estimate for solutions of second-order elliptic equations (2021) (0)
Other boundary value problems for the Stokes system in a cone (2000) (0)
EXTENSION OF FUNCTIONS DEFINED ON PARAMETER DEPENDENT DOMAINS (1998) (0)
General Elliptic Problems in Thin Domains (2000) (0)
L^p-dissipativity for Systems of Partial Differential Operators (2014) (0)
Homogenization of Equations on a Fine Periodic Grid (2000) (0)
Elliptic boundary value problems in the half-space (2002) (0)
Asymptotic behavior of the solution of the Navier-Stokes equations near fins (1973) (0)
Green's Functions (2002) (0)
Boundary Integral Equations in Hölder Spaces on a Contour with Peak (2010) (0)
Linear Water Waves: The Neumann–Kelvin Problem for a Submerged Body (2002) (0)
Recent Trends in Operator Theory and Partial Differential Equations (2017) (0)
Error estimates for quasi-interpolation (2007) (0)
Analytical mechanics and geometry (1999) (0)
Integral Equations of Plane Elasticity in Domains with Peak (2010) (0)
Higher order elliptic equations in non-smooth domains (2009) (0)
About mathematics and reality, Albert Einstein (1921 Nobel Prize in Physics), in his Geometry and Experience talk at the Prussian Academy of Sciences in Berlin (2019) (0)
Meso-scale Approximations for Solutions of Dirichlet Problems (2013) (0)
Approximation by Gaussians (2007) (0)
Linear Water Waves: Semisubmerged Bodies, II (2002) (0)
Elliptic boundary value problems in domains with exterior cusps (2002) (0)
Meso-Scale Approximations of Fields Around Clusters of Defects (2018) (0)
Capacitary and Trace Inequalities for Functions in ℝ n with Derivatives of an Arbitrary Order (2011) (0)
The Angle of L^p-dissipativity (2014) (0)
IMBEDDING AND TRACE THEOREMS FOR DOMAINS WITH OUTER PEAKS AND FOR GENERAL DOMAINS (1998) (0)
Numeri al Solution of the Lippmann { S hwinger Equationby Approximate ApproximationsF (2009) (0)
Linear and non-linear equations of parabolic type: O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural'tseva. 376 p. “Nauka”, Moscow, 1967 (1968) (0)
Polyharmonic capacity and Wiener test of higher order (2017) (0)
10.6. Regularity of a boundary point for elliptic equations (1984) (0)
Application to ordinary differential equations with operator coefficients (1997) (0)
Spectrum of the Schrödinger Operator and the Dirichlet Laplacian (2011) (0)
Paradoxes of Limit Passage in Solutions of Boundary Value Problems When Smooth Domains Are Approximated by Polygons (2000) (0)
Elliptic equations in convex domains (2017) (0)
Invariant convex bodies for strongly elliptic systems (2018) (0)
Prerequisites on operator pencils (2000) (0)
Mikhail Aleksandrovich Shubin (1944–2020) (2021) (0)
Computation of volume potentials over bounded domains via approximate approximations (2013) (0)
Integral Inequality for Functions on a Cube (2011) (0)
The Dirichlet problem for elliptic equations and systems in an angle (2000) (0)
Embedding $\mathaccent "7017{L}^{l}_{p}(\varOmega, \nu) \subset W^{m}_{r}(\varOmega)$ (2011) (0)
Properties of M(∂t−ω(t) under various assumptions about ω(t) (1997) (0)
Power-Exponential Asymptotics (1999) (0)
Pointwise Inequalities for Elliptic Boundary Value Problems (2015) (0)
Preliminary Facts on Semi-boundedness of Forms and Operators (2014) (0)
Dissertations and the Years After (2014) (0)
Sobolev, capacitary and isocapacitary inequalities (2010) (0)
The Dirichlet problem for the biharmonic and polyharmonic equations (2000) (0)
Sharp pointwise estimates for solutions of elliptic systems with boundary data from (2012) (0)
Sobolev embeddings into Orlicz spaces and isocapacitary inequalities (2022) (0)
Asymptotics of Solutions to the Dirichlet Problem for High Order Equations in a Domain with a Thin Tube Excluded (2000) (0)
Higher order elliptic problems in non-smooth domains (2009) (0)
Notes on Hölder Regularity of a Boundary Point with Respect to an Elliptic Operator of Second Order (2014) (0)
Solvability of boundary singular integral operators of elasticity on surfaces with conic points (2013) (0)
Asymptotic Behaviour of Intensity Factors for Vertices of Corners and Cones Coming Close (2000) (0)
Mesoscale Approximations for Solutions of the Dirichlet Problem in A Perforated Elastic Body (2014) (0)
Inequalities for Functions Vanishing at the Boundary (2011) (0)
Cubature of diffraction, elastic, and hydrodynamic potentials (2007) (0)
Green’s Tensor for the Dirichlet Boundary Value Problem in a Domain with a Single Inclusion (2013) (0)
The Dirichlet problem for strongly elliptic systems in particular cones (2000) (0)
Green’s Tensor in Bodies with Multiple Rigid Inclusions (2013) (0)
The operator M (∂ t ) on a semiaxis and an interval (1997) (0)
Existence, Uniqueness and “Pointwise” Estimates (1999) (0)
L p -theory of Boundary Integral Equations on a Contour with Peak (2010) (0)
Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients (1992) (0)
Uniform Asymptotic Formulae for Green’s Functions for the Laplacian in Domains with Small Perforations (2013) (0)
The turn of the century (1999) (0)
Mixed and Neumann Boundary Conditions for Domains with Small Holes and Inclusions: Uniform Asymptotics of Green’s Kernels (2013) (0)
ASYMPTOTICS OF SOLUTIONS OF ONE-DIMENSIONAL DIFFERENCE EQUATIONS WITH CONSTANT OPERATOR COEFFICIENTS (1988) (0)
Embedding of the Space $\mathaccent"7017{L}^{l}_{p}(\varOmega)$ into Other Function Spaces (2011) (0)
Differential Operator Equations in Weighted Sobolev Spaces (1999) (0)
Green’s Tensor for the Mixed Boundary Value Problem in a Domain with a Small Hole (2013) (0)

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