×

Vaĭnberg, Boris Rufimovich

Compute Distance To:
Author ID: vainberg.boris-r Recent zbMATH articles by "Vaĭnberg, Boris Rufimovich"
Published as: Vainberg, B.; Vajnberg, B. R.; Vainberg, Boris; Vainberg, B. R.; Vaĭnberg, B. R.; Vainberg, Boris R.; Vainberg, B
Further Spellings: Вайнберг Борис Руфимович
Homepage: http://math2.uncc.edu/~brvainbe/
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 156 Publications since 1961, including 3 Books
2 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 55 Co-Authors with 103 Joint Publications
1,887 Co-Co-Authors
all top 5

Serials

11 Mathematics of the USSR, Sbornik
8 Soviet Mathematics. Doklady
7 Applicable Analysis
7 Journal of Functional Analysis
7 Matematicheskiĭ Sbornik. Novaya Seriya
5 Communications in Mathematical Physics
5 Russian Mathematical Surveys
5 Uspekhi Matematicheskikh Nauk [N. S.]
5 Transactions of the Moscow Mathematical Society
5 Communications in Partial Differential Equations
5 SIAM Journal on Mathematical Analysis
5 Waves in Random and Complex Media
4 Inverse Problems
4 Trudy Moskovskogo Matematicheskogo Obshchestva
3 Moscow University Mathematics Bulletin
3 Journal of Soviet Mathematics
3 SIAM Journal on Applied Mathematics
3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
3 Trudy Seminara Imeni I. G. Petrovskogo
3 Journal of Spectral Theory
2 Wave Motion
2 Stochastics and Dynamics
2 Journal of Physics A: Mathematical and Theoretical
2 Pure and Applied Functional Analysis
1 Archive for Rational Mechanics and Analysis
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Theoretical and Mathematical Physics
1 Waves in Random Media
1 Functional Analysis and its Applications
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Proceedings of the American Mathematical Society
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Matematicheskiĭ Sbornik
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 Random Operators and Stochastic Equations
1 Journal of Inverse and Ill-Posed Problems
1 Mathematical Physics, Analysis and Geometry
1 Markov Processes and Related Fields
1 Oberwolfach Reports
1 CRM Proceedings & Lecture Notes
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 Translations. Series 2. American Mathematical Society
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 890 times in 645 Documents Cited by Year
Asymptotic methods in equations of mathematical physics. Transl. from the Russian by E. Primrose. Zbl 0743.35001
Vainberg, B. R.
91
1989
On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as \(t\rightarrow\infty\) of solutions of non-stationary problems. Zbl 0318.35006
Vainberg, B. R.
70
1975
Linear water waves. A mathematical approach. Zbl 0996.76001
Kuznetsov, N.; Maz’ya, V.; Vainberg, B.
59
2002
On eigenfunctions of an operator corresponding to the poles of the analytic continuation of the resolvent through the continuous spectrum. Zbl 0252.35050
Vainberg, B. R.
40
1972
Radiation conditions for the difference Schrödinger operators. Zbl 1026.47025
Shaban, W.; Vainberg, B.
35
2001
Continuous model for homopolymers. Zbl 1162.82031
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
32
2009
Scattering solutions in networks of thin fibers: small diameter asymptotics. Zbl 1210.35036
Molchanov, S.; Vainberg, B.
30
2007
On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054
Imaikin, Valery; Komech, Alexander; Vainberg, Boris
26
2006
Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem. Zbl 1285.35059
Lakshtanov, E.; Vainberg, B.
24
2013
Ellipticity in the interior transmission problem in anisotropic media. Zbl 1245.35126
Lakshtanov, E.; Vainberg, B.
20
2012
On exterior elliptic problems polynomially depending on a spectral parameter, and the asymptotic behavior for large time of solutions of nonstationary problems. Zbl 0294.35031
Vainberg, B. R.
19
1974
On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials. Zbl 0960.35077
Kuchment, Peter; Vainberg, Boris
19
2000
First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator. Zbl 0980.35149
Molchanov, S.; Novitskii, M.; Vainberg, B.
18
2001
Principles of radiation, limit absorption and limit amplitude in the general theory of partial differential equations. Zbl 0172.13703
Vajnberg, B. R.
17
1966
On the analytical properties of the resolvent for a certain class of operatorpencils. Zbl 0186.20804
Vajnberg, B. R.
17
1970
On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators. Zbl 1125.39021
Kuchment, Peter; Vainberg, Boris
17
2006
Scattering on the system of the sparse bumps. Multidimensional case. Zbl 1022.47510
Molchanov, S.; Vainberg, B.
15
1999
Bargmann type estimates of the counting function for general Schrödinger operators. Zbl 1280.47029
Molchanov, S.; Vainberg, B.
15
2012
Asymptotic methods in equations of mathematical physics. (Асимптотические методы в уравнениях математической физики.) Zbl 0518.35002
Vaĭnberg, B. R.
13
1982
Full low-frequency asymptotic expansion for second-order elliptic equations in two dimensions. Zbl 0812.35028
Kleinman, R.; Vainberg, B.
12
1994
Remarks on interior transmission eigenvalues, Weyl formula and branching billiards. Zbl 1245.81290
Lakshtanov, E.; Vainberg, B.
11
2012
On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. Zbl 1193.35022
Molchanov, Stanislav; Vainberg, Boris
11
2010
A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy. Zbl 1375.35120
Lakshtanov, Evgeny L.; Novikov, Roman G.; Vainberg, Boris R.
11
2016
The problem of a point source in an inhomogeneous medium. Zbl 0293.35026
Vainberg, B. R.
10
1974
Bounds on positive interior transmission eigenvalues. Zbl 1256.35036
Lakshtanov, E; Vainberg, B
10
2012
On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations. Zbl 0863.35064
Komech, A.; Vainberg, B.
9
1996
Behavior for large time of solutions of the Klein-Gordon equation. Zbl 0318.35051
Vainberg, B. R.
9
1976
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
9
2010
Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068
Imaykin, Valery; Komech, Alexander; Vainberg, Boris
8
2012
On spectral asymptotics for domains with fractal boundaries. Zbl 0867.58068
Molchanov, S.; Vainberg, B.
8
1997
Slowing down of the wave packets in quantum graphs. Zbl 1189.78036
Molchanov, S.; Vainberg, B.
8
2005
Asymptotic expansion as \(t\to\infty\) of the solutions of exterior boundary value problems for hyperbolic equations and quasiclassical approximations. Zbl 0907.35078
Vainberg, B. R.
8
1988
Spectral analysis of non-local Schrödinger operators. Zbl 1377.47003
Kondratiev, Yu.; Molchanov, S.; Vainberg, B.
8
2017
Spectrum of multidimensional Schrödinger operators with sparse potentials. Zbl 0960.35071
Molchanov, S.; Vainberg, B.
7
2000
Global limit theorems on the convergence of multidimensional random walks to stable processes. Zbl 1316.60034
Agbor, A.; Molchanov, S.; Vainberg, B.
7
2015
Slowdown of the wave packages in finite slabs of periodic media. Zbl 1063.35063
Molchanov, S.; Vainberg, B.
6
2004
Weyl type bound on positive interior transmission eigenvalues. Zbl 1301.35078
Lakshtanov, E.; Vainberg, B.
6
2014
Slowing down and reflection of waves in truncated periodic media. Zbl 1099.34075
Molchanov, S.; Vainberg, B.
6
2006
On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087
Komech, A. I.; Kopylova, E. A.; Vainberg, B. R.
6
2008
Intermittency for branching walks with heavy tails. Zbl 1372.60124
Getan, A.; Molchanov, S.; Vainberg, B.
6
2017
Sharp Weyl law for signed counting function of positive interior transmission eigenvalues. Zbl 1331.35252
Lakshtanov, E.; Vainberg, B.
6
2015
Uniformly nonelliptic problems. I, II. Zbl 0179.43304
Vajnberg, B. R.; Grushin, V. V.
5
1968
The effect of disorder on the wave propagation in one-dimensional periodic optical systems. Zbl 1274.78068
Godin, Yuri A.; Molchanov, Stanislav; Vainberg, Boris
5
2011
Large time behavior of solutions to difference wave operators. Zbl 1092.39006
Islami, H.; Vainberg, B.
5
2006
On reconstruction of complex-valued once differentiable conductivities. Zbl 1423.35451
Lakshtanov, Evgeny; Vainberg, Boris
5
2016
On ship waves. Zbl 0803.76017
Maz’ya, V. G.; Vainberg, B. R.
4
1993
Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum. Zbl 1061.47041
Molchanov, S.; Vainberg, B.
4
2004
Hypoelliptic equations in the whole space and the principle of limiting absorption. Zbl 0136.09601
Vajnberg, B. R.
4
1964
Behavior of the solution of the Cauchy problem for a hyperbolic equation as \(t\to \infty\). Zbl 0191.39602
Vajnberg, B. R.
4
1970
On negative spectrum of Schrödinger type operators. Zbl 1182.35173
Molchanov, S.; Vainberg, B.
4
2009
Wave propagation in a one-dimensional randomly perturbed periodic medium. Zbl 1191.81111
Godin, Y. A.; Molchanov, S.; Vainberg, B.
4
2007
Quasiklassische Approximation instationärer Dispersionsprobleme. Zbl 0381.35022
Vainberg, B. R.
4
1977
A priori estimates for high frequency scattering by obstacles of arbitrary shape. Zbl 1258.35156
Lakshtanov, E.; Vainberg, B.
4
2012
On embedding eigenvalues of perturbed periodic Schrödinger operators. Zbl 0902.35077
Kuchment, Peter; Vainberg, Boris
4
1998
Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. Zbl 1317.35046
Molchanov, Stanislav; Vainberg, Boris
4
2006
Wave propagation in periodic networks of thin fibers. Zbl 1406.35382
Molchanov, S.; Vainberg, B.
3
2010
On a point source in an inhomogeneous medium. Zbl 0306.35062
Vainberg, B. R.
3
1975
Quasiclassical approximation in stationary scattering problems. Zbl 0413.35025
Vajnberg, B. R.
3
1978
Estimates for negative eigenvalues of a random Schrödinger operator. Zbl 1161.47032
Safronov, O.; Vainberg, B.
3
2008
On spectral asymptotics for domains with fractal boundaries of cabbage type. Zbl 0913.35099
Molchanov, S.; Vainberg, B.
3
1998
Recovery of \(L^p\)-potential in the plane. Zbl 1375.35121
Lakshtanov, Evgeny; Vainberg, Boris
3
2017
The spectrum of water waves produced by moving point sources, and a related inverse problem. Zbl 1163.74368
Hellsten, Hans; Maz’ya, Vladimir; Vainberg, Boris
2
2003
Certain stationary problems in the linear theory of surface waves. Zbl 0263.76008
Vajnberg, B. R.; Maz’ya, V. G.
2
1972
On the plane problem of the motion of a body immersed in a fluid. Zbl 0296.35008
Vajnberg, B. R.; Maz’ya, V. G.
2
1975
Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048
Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B.
2
2003
Scattering by periodically moving obstacles. Zbl 0782.35051
Vajnberg, B. R.
2
1992
The existence and uniqueness of a solution of certain elliptic equations in the entire plane. Zbl 0122.33801
Vaĭnberg, B. R.
2
1962
On elliptic problems in unbounded domains. Zbl 0176.41002
Vajnberg, B. R.
2
1969
On the strong Huyghens principle for a class of differential operators with constant coefficients. Zbl 0194.12804
Vaĭnberg, B. R.; Gindikin, S. G.
2
1967
Non-random perturbations of the Anderson Hamiltonian. Zbl 1219.35059
Molchanov, Stanislav; Vainberg, Boris
2
2011
Propagation of waves in networks of thin fibers. Zbl 1425.74236
Molchanov, S.; Vainberg, B.
2
2010
Das Verhalten der Lösungen der Klein-Gordon-Gleichung für große Zeiten. Zbl 0313.35053
Vainberg, B. R.
2
1974
On the negative spectrum of the hierarchical Schrödinger operator. Zbl 1253.35088
Molchanov, S.; Vainberg, B.
2
2012
Laplace operator in networks of thin fibers: spectrum near the threshold. Zbl 1173.35088
Molchanov, S.; Vainberg, B.
2
2008
A complete asymptotic expansion of the spectral function of second order elliptic operators in \(R^ n\). Zbl 0573.35070
Vajnberg, B. R.
2
1985
Uniqueness in the inverse conductivity problem for complex-valued Lipschitz conductivities in the plane. Zbl 06780935
Lakshtanov, Evgeny; Tejero, Jorge; Vainberg, Boris
2
2017
Recovery of interior eigenvalues from reduced near field data. Zbl 1386.35309
Lakshtanov, Evgeny; Vainberg, Boris
2
2017
Population dynamics with moderate tails of the underlying random walk. Zbl 1419.60039
Molchanov, Stanislav; Vainberg, Boris
2
2019
High frequency scattering by a classically invisible body. Zbl 1257.78010
Lakshtanov, E.; Sleeman, B. D.; Vainberg, B.
1
2012
Parametrix and asymptotics of the spectral function of differential operators in \(R^ n\). Zbl 0622.47051
Vajnberg, B. R.
1
1986
On the principle of limiting amplitude. Zbl 0254.35035
Vainberg, B. R.
1
1972
On the problem of the steady-state oscillations of a fluid layer of variable depth. Zbl 0296.35009
Vajnberg, B. R.; Maz’ya, V. G.
1
1975
Asymptotic representation of fundamental solutions of hypoelliptic equations, the problem extending throughout the whole space with conditions at infinity. Zbl 0136.09504
Vaĭnberg, B. R.
1
1962
Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential. Zbl 1311.81112
Godin, Y. A.; Molchanov, S.; Vainberg, B.
1
2013
Some correct problems on the whole plane for hypoelliptic equations. Zbl 0175.10803
Vajnberg, B. R.
1
1963
Uniformly noncoercive problems for elliptic equations. Zbl 0179.43303
Vajnberg, B. R.; Grushin, V. V.
1
1967
Maz’ya’s works in the linear theory of water waves. Zbl 0937.35002
Kuznetsov, N. G.; Vainberg, B. R.
1
1999
Resonance regimes of scattering by small bodies with impedance boundary conditions. Zbl 1202.35148
Lakshtanov, E.; Vainberg, B.
1
2010
Über die kurzwellige Asymptotik der Lösungen stationärer Randwertprobleme und die Asymptotik bei \(t\rightarrow\infty\) der Lösungen instationärer Randwertprobleme. Zbl 0308.35011
Vajnberg, B. R.
1
1975
On the determination of the boundary impedance from the far field pattern. Zbl 1211.35275
Godin, Yuri A.; Vainberg, Boris
1
2010
On scattering of solitons for wave equation coupled to a particle. Zbl 1387.35438
Imaykin, Valery; Komech, Alexander; Vainberg, Boris
1
2007
On the local decrease of the energy of solutions of hyperbolic systems. Zbl 0494.35023
Vajnberg, B. R.
1
1982
The characteristic Cauchy problem for a hyperbolic equation. Zbl 0504.35055
Vajnberg, B. R.; Maz’ya, V. G.
1
1981
On mathematical foundation of the Brownian motor theory. Zbl 1297.35248
Koralov, L.; Molchanov, S.; Vainberg, B.
1
2014
Characteristic Cauchy problem for a hyperbolic equation. Zbl 0577.35074
Vajnberg, B. R.; Maz’ya, V. G.
1
1985
Localization on Avron-Exner-Last graphs. I: Local perturbations. Zbl 1104.81038
Chen, Kingwood; Molchanov, Stanislav; Vainberg, Boris
1
2006
Dispersive and effective properties of two-dimensional periodic media. Zbl 1472.78018
Godin, Yuri A.; Vainberg, Boris
1
2019
Population dynamics with moderate tails of the underlying random walk. Zbl 1419.60039
Molchanov, Stanislav; Vainberg, Boris
2
2019
Dispersive and effective properties of two-dimensional periodic media. Zbl 1472.78018
Godin, Yuri A.; Vainberg, Boris
1
2019
Spectral analysis of non-local Schrödinger operators. Zbl 1377.47003
Kondratiev, Yu.; Molchanov, S.; Vainberg, B.
8
2017
Intermittency for branching walks with heavy tails. Zbl 1372.60124
Getan, A.; Molchanov, S.; Vainberg, B.
6
2017
Recovery of \(L^p\)-potential in the plane. Zbl 1375.35121
Lakshtanov, Evgeny; Vainberg, Boris
3
2017
Uniqueness in the inverse conductivity problem for complex-valued Lipschitz conductivities in the plane. Zbl 06780935
Lakshtanov, Evgeny; Tejero, Jorge; Vainberg, Boris
2
2017
Recovery of interior eigenvalues from reduced near field data. Zbl 1386.35309
Lakshtanov, Evgeny; Vainberg, Boris
2
2017
A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy. Zbl 1375.35120
Lakshtanov, Evgeny L.; Novikov, Roman G.; Vainberg, Boris R.
11
2016
On reconstruction of complex-valued once differentiable conductivities. Zbl 1423.35451
Lakshtanov, Evgeny; Vainberg, Boris
5
2016
Global limit theorems on the convergence of multidimensional random walks to stable processes. Zbl 1316.60034
Agbor, A.; Molchanov, S.; Vainberg, B.
7
2015
Sharp Weyl law for signed counting function of positive interior transmission eigenvalues. Zbl 1331.35252
Lakshtanov, E.; Vainberg, B.
6
2015
Weyl type bound on positive interior transmission eigenvalues. Zbl 1301.35078
Lakshtanov, E.; Vainberg, B.
6
2014
On mathematical foundation of the Brownian motor theory. Zbl 1297.35248
Koralov, L.; Molchanov, S.; Vainberg, B.
1
2014
Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem. Zbl 1285.35059
Lakshtanov, E.; Vainberg, B.
24
2013
Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential. Zbl 1311.81112
Godin, Y. A.; Molchanov, S.; Vainberg, B.
1
2013
Ellipticity in the interior transmission problem in anisotropic media. Zbl 1245.35126
Lakshtanov, E.; Vainberg, B.
20
2012
Bargmann type estimates of the counting function for general Schrödinger operators. Zbl 1280.47029
Molchanov, S.; Vainberg, B.
15
2012
Remarks on interior transmission eigenvalues, Weyl formula and branching billiards. Zbl 1245.81290
Lakshtanov, E.; Vainberg, B.
11
2012
Bounds on positive interior transmission eigenvalues. Zbl 1256.35036
Lakshtanov, E; Vainberg, B
10
2012
Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068
Imaykin, Valery; Komech, Alexander; Vainberg, Boris
8
2012
A priori estimates for high frequency scattering by obstacles of arbitrary shape. Zbl 1258.35156
Lakshtanov, E.; Vainberg, B.
4
2012
On the negative spectrum of the hierarchical Schrödinger operator. Zbl 1253.35088
Molchanov, S.; Vainberg, B.
2
2012
High frequency scattering by a classically invisible body. Zbl 1257.78010
Lakshtanov, E.; Sleeman, B. D.; Vainberg, B.
1
2012
The effect of disorder on the wave propagation in one-dimensional periodic optical systems. Zbl 1274.78068
Godin, Yuri A.; Molchanov, Stanislav; Vainberg, Boris
5
2011
Non-random perturbations of the Anderson Hamiltonian. Zbl 1219.35059
Molchanov, Stanislav; Vainberg, Boris
2
2011
On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. Zbl 1193.35022
Molchanov, Stanislav; Vainberg, Boris
11
2010
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
9
2010
Wave propagation in periodic networks of thin fibers. Zbl 1406.35382
Molchanov, S.; Vainberg, B.
3
2010
Propagation of waves in networks of thin fibers. Zbl 1425.74236
Molchanov, S.; Vainberg, B.
2
2010
Resonance regimes of scattering by small bodies with impedance boundary conditions. Zbl 1202.35148
Lakshtanov, E.; Vainberg, B.
1
2010
On the determination of the boundary impedance from the far field pattern. Zbl 1211.35275
Godin, Yuri A.; Vainberg, Boris
1
2010
Continuous model for homopolymers. Zbl 1162.82031
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
32
2009
On negative spectrum of Schrödinger type operators. Zbl 1182.35173
Molchanov, S.; Vainberg, B.
4
2009
On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087
Komech, A. I.; Kopylova, E. A.; Vainberg, B. R.
6
2008
Estimates for negative eigenvalues of a random Schrödinger operator. Zbl 1161.47032
Safronov, O.; Vainberg, B.
3
2008
Laplace operator in networks of thin fibers: spectrum near the threshold. Zbl 1173.35088
Molchanov, S.; Vainberg, B.
2
2008
Scattering solutions in networks of thin fibers: small diameter asymptotics. Zbl 1210.35036
Molchanov, S.; Vainberg, B.
30
2007
Wave propagation in a one-dimensional randomly perturbed periodic medium. Zbl 1191.81111
Godin, Y. A.; Molchanov, S.; Vainberg, B.
4
2007
On scattering of solitons for wave equation coupled to a particle. Zbl 1387.35438
Imaykin, Valery; Komech, Alexander; Vainberg, Boris
1
2007
On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054
Imaikin, Valery; Komech, Alexander; Vainberg, Boris
26
2006
On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators. Zbl 1125.39021
Kuchment, Peter; Vainberg, Boris
17
2006
Slowing down and reflection of waves in truncated periodic media. Zbl 1099.34075
Molchanov, S.; Vainberg, B.
6
2006
Large time behavior of solutions to difference wave operators. Zbl 1092.39006
Islami, H.; Vainberg, B.
5
2006
Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. Zbl 1317.35046
Molchanov, Stanislav; Vainberg, Boris
4
2006
Localization on Avron-Exner-Last graphs. I: Local perturbations. Zbl 1104.81038
Chen, Kingwood; Molchanov, Stanislav; Vainberg, Boris
1
2006
Slowing down of the wave packets in quantum graphs. Zbl 1189.78036
Molchanov, S.; Vainberg, B.
8
2005
Slowdown of the wave packages in finite slabs of periodic media. Zbl 1063.35063
Molchanov, S.; Vainberg, B.
6
2004
Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum. Zbl 1061.47041
Molchanov, S.; Vainberg, B.
4
2004
The spectrum of water waves produced by moving point sources, and a related inverse problem. Zbl 1163.74368
Hellsten, Hans; Maz’ya, Vladimir; Vainberg, Boris
2
2003
Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048
Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B.
2
2003
Linear water waves. A mathematical approach. Zbl 0996.76001
Kuznetsov, N.; Maz’ya, V.; Vainberg, B.
59
2002
Radiation conditions for the difference Schrödinger operators. Zbl 1026.47025
Shaban, W.; Vainberg, B.
35
2001
First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator. Zbl 0980.35149
Molchanov, S.; Novitskii, M.; Vainberg, B.
18
2001
On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials. Zbl 0960.35077
Kuchment, Peter; Vainberg, Boris
19
2000
Spectrum of multidimensional Schrödinger operators with sparse potentials. Zbl 0960.35071
Molchanov, S.; Vainberg, B.
7
2000
Scattering on the system of the sparse bumps. Multidimensional case. Zbl 1022.47510
Molchanov, S.; Vainberg, B.
15
1999
Maz’ya’s works in the linear theory of water waves. Zbl 0937.35002
Kuznetsov, N. G.; Vainberg, B. R.
1
1999
On embedding eigenvalues of perturbed periodic Schrödinger operators. Zbl 0902.35077
Kuchment, Peter; Vainberg, Boris
4
1998
On spectral asymptotics for domains with fractal boundaries of cabbage type. Zbl 0913.35099
Molchanov, S.; Vainberg, B.
3
1998
On spectral asymptotics for domains with fractal boundaries. Zbl 0867.58068
Molchanov, S.; Vainberg, B.
8
1997
On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations. Zbl 0863.35064
Komech, A.; Vainberg, B.
9
1996
Full low-frequency asymptotic expansion for second-order elliptic equations in two dimensions. Zbl 0812.35028
Kleinman, R.; Vainberg, B.
12
1994
On ship waves. Zbl 0803.76017
Maz’ya, V. G.; Vainberg, B. R.
4
1993
Scattering by periodically moving obstacles. Zbl 0782.35051
Vajnberg, B. R.
2
1992
Asymptotic methods in equations of mathematical physics. Transl. from the Russian by E. Primrose. Zbl 0743.35001
Vainberg, B. R.
91
1989
Asymptotic expansion as \(t\to\infty\) of the solutions of exterior boundary value problems for hyperbolic equations and quasiclassical approximations. Zbl 0907.35078
Vainberg, B. R.
8
1988
Parametrix and asymptotics of the spectral function of differential operators in \(R^ n\). Zbl 0622.47051
Vajnberg, B. R.
1
1986
A complete asymptotic expansion of the spectral function of second order elliptic operators in \(R^ n\). Zbl 0573.35070
Vajnberg, B. R.
2
1985
Characteristic Cauchy problem for a hyperbolic equation. Zbl 0577.35074
Vajnberg, B. R.; Maz’ya, V. G.
1
1985
Asymptotic methods in equations of mathematical physics. (Асимптотические методы в уравнениях математической физики.) Zbl 0518.35002
Vaĭnberg, B. R.
13
1982
On the local decrease of the energy of solutions of hyperbolic systems. Zbl 0494.35023
Vajnberg, B. R.
1
1982
The characteristic Cauchy problem for a hyperbolic equation. Zbl 0504.35055
Vajnberg, B. R.; Maz’ya, V. G.
1
1981
Quasiclassical approximation in stationary scattering problems. Zbl 0413.35025
Vajnberg, B. R.
3
1978
Quasiklassische Approximation instationärer Dispersionsprobleme. Zbl 0381.35022
Vainberg, B. R.
4
1977
Behavior for large time of solutions of the Klein-Gordon equation. Zbl 0318.35051
Vainberg, B. R.
9
1976
On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as \(t\rightarrow\infty\) of solutions of non-stationary problems. Zbl 0318.35006
Vainberg, B. R.
70
1975
On a point source in an inhomogeneous medium. Zbl 0306.35062
Vainberg, B. R.
3
1975
On the plane problem of the motion of a body immersed in a fluid. Zbl 0296.35008
Vajnberg, B. R.; Maz’ya, V. G.
2
1975
On the problem of the steady-state oscillations of a fluid layer of variable depth. Zbl 0296.35009
Vajnberg, B. R.; Maz’ya, V. G.
1
1975
Über die kurzwellige Asymptotik der Lösungen stationärer Randwertprobleme und die Asymptotik bei \(t\rightarrow\infty\) der Lösungen instationärer Randwertprobleme. Zbl 0308.35011
Vajnberg, B. R.
1
1975
On exterior elliptic problems polynomially depending on a spectral parameter, and the asymptotic behavior for large time of solutions of nonstationary problems. Zbl 0294.35031
Vainberg, B. R.
19
1974
The problem of a point source in an inhomogeneous medium. Zbl 0293.35026
Vainberg, B. R.
10
1974
Das Verhalten der Lösungen der Klein-Gordon-Gleichung für große Zeiten. Zbl 0313.35053
Vainberg, B. R.
2
1974
On eigenfunctions of an operator corresponding to the poles of the analytic continuation of the resolvent through the continuous spectrum. Zbl 0252.35050
Vainberg, B. R.
40
1972
Certain stationary problems in the linear theory of surface waves. Zbl 0263.76008
Vajnberg, B. R.; Maz’ya, V. G.
2
1972
On the principle of limiting amplitude. Zbl 0254.35035
Vainberg, B. R.
1
1972
On the analytical properties of the resolvent for a certain class of operatorpencils. Zbl 0186.20804
Vajnberg, B. R.
17
1970
Behavior of the solution of the Cauchy problem for a hyperbolic equation as \(t\to \infty\). Zbl 0191.39602
Vajnberg, B. R.
4
1970
On elliptic problems in unbounded domains. Zbl 0176.41002
Vajnberg, B. R.
2
1969
Uniformly nonelliptic problems. I, II. Zbl 0179.43304
Vajnberg, B. R.; Grushin, V. V.
5
1968
On the strong Huyghens principle for a class of differential operators with constant coefficients. Zbl 0194.12804
Vaĭnberg, B. R.; Gindikin, S. G.
2
1967
Uniformly noncoercive problems for elliptic equations. Zbl 0179.43303
Vajnberg, B. R.; Grushin, V. V.
1
1967
Principles of radiation, limit absorption and limit amplitude in the general theory of partial differential equations. Zbl 0172.13703
Vajnberg, B. R.
17
1966
Hypoelliptic equations in the whole space and the principle of limiting absorption. Zbl 0136.09601
Vajnberg, B. R.
4
1964
Some correct problems on the whole plane for hypoelliptic equations. Zbl 0175.10803
Vajnberg, B. R.
1
1963
The existence and uniqueness of a solution of certain elliptic equations in the entire plane. Zbl 0122.33801
Vaĭnberg, B. R.
2
1962
Asymptotic representation of fundamental solutions of hypoelliptic equations, the problem extending throughout the whole space with conditions at infinity. Zbl 0136.09504
Vaĭnberg, B. R.
1
1962
all top 5

Cited by 624 Authors

38 Vaĭnberg, Boris Rufimovich
29 Nazarov, Sergeĭ Aleksandrovich
28 Molchanov, Stanislav Alekseevich
27 Komech, Alexander Ilich
22 Kopylova, Elena A.
13 Yarovaya, Elena B.
12 Klibanov, Michael V.
11 Vodev, Georgi
10 Lakshtanov, Evgeny L.
10 Petkov, Vesselin M.
10 Spence, Euan A.
8 Kuchment, Peter A.
8 Kuznetsov, Nikolai Germanovich
8 Motygin, Oleg Valer’evich
8 Sharma, Basant Lal
7 Chen, Lung-Hui
7 Dudnikova, Tat’yana V.
7 Romanov, Vladimir Gavrilovich
7 Shibata, Yoshihiro
6 Cakoni, Fioralba
6 Koralov, Leonid B.
6 Rabinovich, Vladimir Samuilovich
6 Taskinen, Jari
5 Denisov, Sergey A.
5 Godin, Yuri A.
5 Haddar, Houssem
5 Korotyaev, Evgeny L.
5 Morioka, Hisashi
5 Witsch, Karl Josef
4 Bony, Jean-François
4 Comech, Andrew
4 Isozaki, Hiroshi
4 Khenissi, Moez
4 Lapidus, Michel L.
4 Laptev, Ari
4 Merzon, Anatolĭ E.
4 Nguyen, Hoai-Minh
4 Nguyen, Loc Hoang
4 Noblesse, Francis
4 Pankrashkin, Konstantin
4 Pierotti, Dario
4 Racke, Reinhard
4 Rozenblum, Grigori V.
4 Safronov, Oleg
4 Solomyak, Mikhaĭl Zakharovich
4 Weck, Norbert
4 Wunsch, Jared
4 Zhevandrov, Peter N.
3 Aloui, Lassaad
3 Burq, Nicolas
3 Chesnel, Lucas
3 Cranston, Michael Craig
3 Dobrokhotov, Sergei Yurievich
3 Galkowski, Jeffrey
3 He, Jiayi
3 Ikehata, Ryo
3 Imaikin, Valery
3 Jensen, Arne
3 Kawashita, Mishio
3 Liu, Hongyu
3 Lyalinov, Mikhail Anatolievich
3 Mashkin, Timur
3 Matevosyan, Hovik A.
3 Maz’ya, Vladimir Gilelevich
3 McIver, Philip
3 Nguyen, Dinh Liem
3 Novikov, Roman G.
3 Pembery, O. R.
3 Ramm, Alexander G.
3 Robbiano, Luc
3 Robert, Didier
3 Rodríguez, M. I. Romero
3 Rytova, Anastasiya I.
3 Saks, Romèn Semenovich
3 Shipman, Stephen P.
3 Sjöstrand, Johannes
3 Spohn, Herbert
3 Tamura, Hideo
3 Teplyaev, Alexander
3 Tsutsumi, Yoshio
3 Vestyak, A. V.
3 Videman, Juha Hans
3 Wang, Haibing
3 Wang, Xueping
3 Wu, Huiyu
2 Akbarov, D. E.
2 Alber, Yakov I.
2 Almuratov, Firdavsjon M.
2 Amrouche, Chérif
2 Ando, Kazunori
2 Bakharev, Fedor L’vovich
2 Bakushinskĭ, Anatoliĭ Borisovich B.
2 Barrera-Figueroa, Victor
2 Blåsten, Eemeli
2 Blåsten, Emilia L. K.
2 Boumaza, Hakim
2 Bulinskaya, Ekaterina Vladimirovna
2 Buslaev, Vladimir Savel’evich
2 Cal, Filipe S.
2 Cardone, Giuseppe
...and 524 more Authors
all top 5

Cited in 180 Serials

28 Journal of Mathematical Analysis and Applications
27 Journal of Mathematical Sciences (New York)
26 Journal of Functional Analysis
23 Communications in Partial Differential Equations
22 Applicable Analysis
20 Communications in Mathematical Physics
18 Journal of Mathematical Physics
17 Journal of Differential Equations
15 Russian Journal of Mathematical Physics
14 Journal of Fluid Mechanics
13 Mathematical Notes
13 Wave Motion
12 SIAM Journal on Mathematical Analysis
11 Ukrainian Mathematical Journal
10 Siberian Mathematical Journal
9 Archive for Rational Mechanics and Analysis
8 St. Petersburg Mathematical Journal
8 Waves in Random and Complex Media
8 Inverse Problems and Imaging
7 Inverse Problems
7 Mathematical Methods in the Applied Sciences
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Doklady Mathematics
7 Annales Henri Poincaré
6 Annales de l’Institut Fourier
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 SIAM Journal on Applied Mathematics
6 Journal of Inverse and Ill-Posed Problems
5 Journal of Applied Mathematics and Mechanics
5 Duke Mathematical Journal
5 Mathematische Annalen
5 Computational Mathematics and Mathematical Physics
5 Mathematical Physics, Analysis and Geometry
4 Computers & Mathematics with Applications
4 Journal d’Analyse Mathématique
4 Journal of Engineering Mathematics
4 Russian Mathematical Surveys
4 Theoretical and Mathematical Physics
4 Functional Analysis and its Applications
4 Integral Equations and Operator Theory
4 Cybernetics and Systems Analysis
4 Methodology and Computing in Applied Probability
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Spectral Theory
3 Journal of Statistical Physics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Reviews in Mathematical Physics
3 Mathematische Zeitschrift
3 Numerische Mathematik
3 Proceedings of the Japan Academy. Series A
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Probability Theory and Related Fields
3 Applied Mathematics Letters
3 Applied Mathematical Modelling
3 Stochastic Processes and their Applications
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Sbornik: Mathematics
3 Discrete and Continuous Dynamical Systems
3 Differential Equations
3 Stochastics and Dynamics
3 Complex Variables and Elliptic Equations
3 Journal of Physics A: Mathematical and Theoretical
3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
3 Advances in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Journal of Computational Physics
2 Letters in Mathematical Physics
2 Lithuanian Mathematical Journal
2 Reports on Mathematical Physics
2 Arkiv för Matematik
2 Acta Mathematica
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 The Annals of Probability
2 Journal of Computational and Applied Mathematics
2 Journal of the Mathematical Society of Japan
2 Journal of Soviet Mathematics
2 Mathematische Nachrichten
2 Proceedings of the American Mathematical Society
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Transactions of the American Mathematical Society
2 Applied Numerical Mathematics
2 Journal of Integral Equations and Applications
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Calculus of Variations and Partial Differential Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 European Journal of Mechanics. B. Fluids
2 Acta Mathematica Sinica. English Series
2 Lobachevskii Journal of Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Nonlinear Analysis. Theory, Methods & Applications
2 Séminaire Laurent Schwartz. EDP et Applications
2 SN Partial Differential Equations and Applications
1 Acta Mechanica
1 Analysis Mathematica
1 Computer Methods in Applied Mechanics and Engineering
1 Ingenieur-Archiv
1 International Journal of Engineering Science
1 Moscow University Mathematics Bulletin
...and 80 more Serials
all top 5

Cited in 41 Fields

405 Partial differential equations (35-XX)
128 Operator theory (47-XX)
109 Quantum theory (81-XX)
77 Fluid mechanics (76-XX)
68 Optics, electromagnetic theory (78-XX)
52 Ordinary differential equations (34-XX)
51 Mechanics of deformable solids (74-XX)
50 Probability theory and stochastic processes (60-XX)
38 Numerical analysis (65-XX)
34 Statistical mechanics, structure of matter (82-XX)
29 Difference and functional equations (39-XX)
25 Dynamical systems and ergodic theory (37-XX)
25 Global analysis, analysis on manifolds (58-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
14 Functional analysis (46-XX)
13 Potential theory (31-XX)
13 Integral equations (45-XX)
9 Geophysics (86-XX)
8 Number theory (11-XX)
7 Measure and integration (28-XX)
7 Biology and other natural sciences (92-XX)
6 Functions of a complex variable (30-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Differential geometry (53-XX)
5 Combinatorics (05-XX)
5 Mechanics of particles and systems (70-XX)
4 Statistics (62-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operations research, mathematical programming (90-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.