Boris Rufimovich Vainberg

Boris Rufimovich Vainberg's AcademicInfluence.com Rankings

Mathematics

#4804

World Rank

#6797

Historical Rank

Complex Analysis

#27

World Rank

#40

Historical Rank

Algebraic Geometry

#187

World Rank

#195

Historical Rank

Measure Theory

#3026

World Rank

#3594

Historical Rank

mathematics Degrees

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Mathematics

Why Is Boris Rufimovich Vainberg Influential?

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According to Wikipedia, Boris Rufimovich Vainberg is a professor of mathematics at the University of North Carolina at Charlotte. He was born in 1938. He received his Dr.S. from Moscow State University, under the supervision of Samarii Galpern. He taught mathematics at Moscow State University for nearly 30 years, then held a visiting professor position at the University of Delaware before taking his current position at UNCC.

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Boris Rufimovich Vainberg'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

Asymptotic methods in equations of mathematical physics (1989) (348)
ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR AS t???? OF SOLUTIONS OF NON-STATIONARY PROBLEMS (1975) (156)
Linear Water Waves: A Mathematical Approach (2002) (143)
PRINCIPLES OF RADIATION, LIMIT ABSORPTION AND LIMIT AMPLITUDE IN THE GENERAL THEORY OF PARTIAL DIFFERENTIAL EQUATIONS (1966) (107)
On ship waves (1993) (87)
Radiation conditions for the difference schrödinger operators (2001) (79)
On Scattering of Solitons for the Klein–Gordon Equation Coupled to a Particle (2006) (76)
Scattering Solutions in Networks of Thin Fibers: Small Diameter Asymptotics (2006) (75)
Continuous Model for Homopolymers (2009) (60)
A Mathematical Approach (2002) (56)
UNIFORMLY NONELLIPTIC PROBLEMS. I (1967) (54)
ON THE ANALYTICAL PROPERTIES OF THE RESOLVENT FOR A CERTAIN CLASS OF OPERATOR-PENCILS (1968) (54)
Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem (2012) (50)
On absence of embedded eigenvalues for schrÖdinger operators with perturbed periodic potentials (1999) (49)
Ellipticity in the Interior Transmission Problem in Anisotropic Media (2011) (48)
On the Structure of Eigenfunctions Corresponding to Embedded Eigenvalues of Locally Perturbed Periodic Graph Operators (2005) (48)
First KdV Integrals¶and Absolutely Continuous Spectrum¶for 1-D Schrödinger Operator (2001) (44)
Bounds on positive interior transmission eigenvalues (2012) (37)
ON EXTERIOR ELLIPTIC PROBLEMS POLYNOMIALLY DEPENDING ON A SPECTRAL PARAMETER, AND THE ASYMPTOTIC BEHAVIOR FOR LARGE TIME OF SOLUTIONS OF NONSTATIONARY PROBLEMS (1973) (36)
Remarks on interior transmission eigenvalues, Weyl formula and branching billiards (2011) (35)
On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations (1996) (34)
On General Cwikel–Lieb–Rozenblum and Lieb–Thirring Inequalities (2008) (32)
Quasiclassical approximation in stationary scattering problems (1977) (31)
Scattering of solitons for coupled wave-particle equations (2010) (29)
Scattering on the system of the sparse bumps: multidimensional case (1998) (28)
Bargmann type estimates of the counting function for general Schrödinger operators (2012) (24)
Transition from a network of thin fibers to the quantum graph: an explicitly solvable model (2006) (23)
Full low-frequency asymptotic expansion for second-order elliptic equations in two dimensions (1994) (23)
On dispersive properties of discrete 2D Schrödinger and Klein–Gordon equations (2008) (22)
On spectral asymptotics for domains with fractal boundaries (1997) (19)
Designing lasing and perfectly absorbing potentials (2018) (19)
ON ELLIPTIC PROBLEMS IN UNBOUNDED DOMAINS (1968) (18)
A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy (2015) (18)
Spectral analysis of non-local Schrödinger operators (2016) (18)
BEHAVIOR OF THE SOLUTION OF THE CAUCHY PROBLEM FOR A HYPERBOLIC EQUATION AS t (1969) (17)
Slowing down of the wave packets in quantum graphs (2005) (17)
Global limit theorems on the convergence of multidimensional random walks to stable processes (2014) (17)
A solvable model for homopolymers and self-similarity near the critical point (2010) (16)
Linear Water Waves: Preface (2002) (16)
Intermittency for branching walks with heavy tails (2015) (15)
Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues (2014) (14)
Laplace Operator in Networks of Thin Fibers: Spectrum Near the Threshold (2007) (14)
Large Time Behavior of Solutions to Difference Wave Operators (2005) (12)
Slowdown of the wave packages in finite slabs of periodic medias (2004) (12)
The effect of disorder on the wave propagation in one-dimensional periodic optical systems (2011) (11)
On negative eigenvalues of low-dimensional Schr\"{o}dinger operators (2011) (11)
On Embedded Eigenvalues of Perturbed Periodic Schrödinger Operators (1998) (11)
Spectrum of Multidimensional Schr√∂dinger Operators with Sparse Potentials (2000) (10)
Probability and mathematical physics : a volume in honor of Stanislav Molchanov (2007) (10)
A Priori Estimates for High Frequency Scattering by Obstacles of Arbitrary Shape (2010) (10)
Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum (2003) (9)
Slowing down and reflection of waves in truncated periodic media (2005) (9)
ON EIGENFUNCTIONS OF AN OPERATOR CORRESPONDING TO THE POLES OF THE ANALYTIC CONTINUATION OF THE RESOLVENT THROUGH THE CONTINUOUS SPECTRUM (1972) (8)
A COMPLETE ASYMPTOTIC EXPANSION OF THE SPECTRAL FUNCTION OF SECOND ORDER ELLIPTIC OPERATORS IN (1985) (8)
ON A POINT SOURCE IN AN INHOMOGENEOUS MEDIUM (1974) (8)
On reconstruction of complex-valued once differentiable conductivities (2015) (7)
Recovery of L p -potential in the plane (2016) (7)
Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane (2017) (7)
On the negative spectrum of the hierarchical Schrödinger operator (2012) (6)
Wave propagation in periodic networks of thin fibers (2009) (6)
Dispersion of waves in two and three-dimensional periodic media (2019) (6)
Population Dynamics with Moderate Tails of the Underlying Random Walk (2018) (6)
Wave propagation in a one-dimensional randomly perturbed periodic medium (2007) (6)
Scattering of waves in a medium depending periodically on time (1992) (6)
Resonance regimes of scattering by small bodies with impedance boundary conditions (2010) (5)
Characteristic Cauchy problem for a hyperbolic equation (1985) (5)
Asymptotic Expansion as t → ∞ of the Solutions of Exterior Boundary Value Problems for Hyperbolic Equations and Quasiclassical Approximations (1999) (5)
Propagation of Waves in Networks of Thin Fibers (2009) (4)
Estimates for negative eigenvalues of a random Schrödinger operator (2008) (4)
SCATTERING BY PERIODICALLY MOVING OBSTACLES (1992) (4)
On Spectral Asymptotics for Domains with Fractal Boundaries of Cabbage Type (1998) (4)
Dispersive and effective properties of two-dimensional periodic media (2018) (4)
Engineering coherent perfect absorption and lasing (2018) (3)
Asymptotic behavior as t→∞ of solutions of exterior mixed problems periodic with respect to t (1990) (3)
High Frequency Scattering by a Classically Invisible Body (2010) (3)
A simple method for solving the inverse scattering problem for the difference Helmholtz equation (2008) (3)
Limiting Absorption Principle for Stratified Operators with Thresholds: A General Method (2003) (3)
EIGENVALUE ESTIMATES FOR RANDOM SCHR ÖDINGER OPERATORS (2007) (3)
Recovery of interior eigenvalues from reduced near field data (2015) (3)
Non-random perturbations of the Anderson Hamiltonian (2010) (3)
On mathematical foundation of the Brownian motor theory (2013) (2)
The inverse scattering problem for the difference operators: The decomposition method (2008) (2)
Spectrum of Multidimensional Schrödinger Operators with Sparse Potentials (2019) (2)
On Negative Spectrum of Schrödinger Type Operators (2009) (2)
On the Determination of the Boundary Impedance from the Far Field Pattern (2009) (2)
On the critical value of the coupling constant in exterior elliptic problems (2020) (2)
PARAMETRIX AND ASYMPTOTICS OF THE SPECTRAL FUNCTION OF DIFFERENTIAL OPERATORS IN (1987) (2)
Asymptotic Methods for an Optimal Antenna Problem (1998) (2)
Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential (2011) (2)
The spectrum of water waves produced by moving point sources, and a related inverse problem (2003) (2)
Resonances for multistratified acoustic waveguides (1998) (2)
Exceptional points in Faddeev scattering problem (2014) (2)
Non-random perturbations of the Anderson Hamiltonian in the 1-D case (2012) (2)
ON THE PRINCIPLE OF LIMITING AMPLITUDE (1971) (2)
Maz’ya’s works in the linear theory of water waves (1999) (2)
Asymptotic expansion of the spectral function of elliptic operators inRn (1989) (1)
Semisubmerged Bodies, II (2002) (1)
Recovery of interior eigenvalues from reduced backscattering data (2015) (1)
The slowdown of group velocity in periodic waveguides (2019) (1)
Solution of the initial value problem for the focusing Davey-Stewartson II system (2016) (1)
Clusters of Bloch waves in three-dimensional periodic media (2022) (1)
MATHEMATICAL LIFE: Vladimir Gilelevich Maz'ya (to his 70th brithday) (2008) (1)
SAMARII ALEKSANDROVICH GAL'PERN (obituary) (1978) (1)
Mikhail Vasil'evich Fedoryuk (obituary) (1991) (0)
Submerged Obstacles: Existence and Properties of Velocity Potentials (2002) (0)
Some generalizations of Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities (2008) (0)
PR ] 1 M ar 2 01 6 Intermittency for branching walks with heavy tails (2018) (0)
Communications of the Moscow Mathematical Society: on the Characteristic Cauchy Problem for a Hyperbolic Equation (1980) (0)
Global Limit Theorem for Parabolic Equations with a Potential (2021) (0)
SP ] 1 3 Fe b 20 17 Spectral analysis of non-local Schrödinger operators (2021) (0)
SP ] 4 M ar 2 01 6 Spectral analysis of non-local Schrödinger operators (2019) (0)
Linear Water Waves: Two-Dimensional Problem for a Surface-Piercing Body (2002) (0)
Mini-Workshop: Attraction to Solitary Waves and Related Aspects of Physics (2008) (0)
Horizontally Periodic Trapped Waves (2002) (0)
Two-parameter asymptotics of the Lyapunov exponent of the random Schrodinger operator (2011) (0)
Linear Water Waves: Waves Caused by Rapidly Stabilizing and High-Frequency Disturbances (2002) (0)
Local decrease of energy of solutions of hyperbolic systems (1986) (0)
As when / = 1 , the formula extends to complex matrices £ with real parts in C , the matrices iÇ forming a generalized (2010) (0)
Negative eigenvalues of non-local Schr\"{o}dinger operators with sign-changing potentials (2022) (0)
Long-wave approximation for the effective dielectric tensor of periodic materials (2016) (0)
Linear Water Waves: Introduction: Basic Theory of Surface Waves (2002) (0)
A Solvable Model for Homopolymers and the Critical Phenomena (2009) (0)
Linear Water Waves: Submerged Obstacles (2002) (0)
Absolutely continuous and pure point spectra of discrete operators with sparse potentials (2021) (0)
A method of making impedance measurements of the viscoelastic properties of a medium by oscillating plates and shells (1984) (0)
Bargmann type estimates of the counting function for general Schrödinger operators (2012) (0)
Uniqueness in potential scattering with reduced data (2017) (0)
Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential (2013) (0)
Inverse Problems PAPER Bounds on positive interior transmission (2012) (0)
Eight Papers on Differential Equations and Functional Analysis (1966) (0)
Владимир Гилелевич Мазья (к 70-летию со дня рождения)@@@Vladimir Gilelevich Maz'ya (to his 70th brithday) (2008) (0)
Linear Water Waves: Green's Functions (2002) (0)
A test for the existence of exceptional points in the Faddeev scattering problem (2017) (0)
On the Near-Critical Behavior of Continuous Polymers (2020) (0)
Green's Functions (2002) (0)
Linear Water Waves: The Neumann–Kelvin Problem for a Submerged Body (2002) (0)
Obituary of Alexander Gordon. (2019) (0)
The radius of a polymer at a near-critical temperature (2020) (0)
Uniqueness in potential scattering with reduced backscattering data (2015) (0)
Linear Water Waves: Semisubmerged Bodies, II (2002) (0)
Lieb-Thirring inequalities, Schr\"odinger operator, operators on groups, quantum graphs, Anderson model (2008) (0)
A test for the existence of exceptional points in the Faddeev scattering problem (2017) (0)
On the influence of random perturbations on the propagation of waves described by a periodic Schrödinger operator (2007) (0)
Asymptotic Approximations for Optimal Conformal Antennas (1997) (0)
N ov 2 01 0 Scattering of Solitons for Coupled Wave-Particle Equations Running head : Soliton Scattering for Wave-Particle Eqs (2010) (0)
Uniqueness in potential scattering with reduced near field data (2015) (0)
Three-dimensional periodic lattice of cavities and multidirectional Bloch waves (2023) (0)

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What Schools Are Affiliated With Boris Rufimovich Vainberg?

Boris Rufimovich Vainberg's AcademicInfluence.com Rankings