Edit Profile (opens in new tab) Vaĭnberg, Boris Rufimovich Compute Distance To: Compute Author ID: vainberg.boris-r Published as: Vainberg, B.; Vajnberg, B. R.; Vainberg, Boris; Vainberg, B. R.; Vaĭnberg, B. R.; Vainberg, Boris R.; Vainberg, B more...less 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 1,919 Co-Co-Authors all top 5 Co-Authors 54 single-authored 37 Molchanov, Stanislav Alekseevich 19 Lakshtanov, Evgeny L. 12 Maz’ya, Vladimir Gilelevich 8 Godin, Yuri A. 6 Komech, Alexander Ilich 6 Koralov, Leonid B. 4 Kleinman, Ralph Ellis 3 Cranston, Michael Craig 3 Gindikin, Simon Grigorevich 3 Grushin, V. V. 3 Imaikin, Valery 3 Kondrat’ev, Vladimir Aleksandrovich 3 Kuchment, Peter A. 2 Angell, Thomas S. 2 Jakšić, Vojkan 2 Jitomirskaya, Svetlana Yakovlevna 2 Kuznetsov, Nikolai Germanovich 2 Landis, Evgenii Mikhailovich 2 Oleĭnik, Ol’ga Arsen’evna 2 Pastur, Leonid Andreevich 2 Simon, Barry 2 Sobolev, Sergeĭ L’vovich 1 Agbor, A. 1 Agranovich, Mikhail Semënovich 1 Aizenman, A. 1 Burago, Yuriĭ Dmitrievich 1 Buslaev, Vladimir Savel’evich 1 Chen, Kingwood 1 Comech, Andrew 1 Dawson, Donald Andrew 1 Dermenjian, Yves 1 Getan, A. 1 Goldsheid, Ilya Ya. 1 Khavin, Viktor Petrovich 1 Hellsten, Hans 1 Islami, H. 1 Jacšić, V. 1 Kirsch, Werner 1 Klein, Abel 1 Konakov, V. D. 1 Kondrat’yev, Yuriĭ Grygorovych 1 Kopylova, Elena A. 1 Krutin, V. N. 1 Maslov, Viktor Pavlovich 1 Novikov, Roman G. 1 Novitskiĭ, Mikhail Vasil’evich 1 Poborchii, S. V. 1 Poisson, Olivier 1 Puri, Rajan 1 Reshetnyak, Yuriĭ Grigor’evich 1 Shaban, W. 1 Shubin, Mikhail Aleksandrovich 1 Sleeman, Brian David 1 Tejero, Jorge 1 Vishik, Marko Iosifovich 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 all top 5 Fields 109 Partial differential equations (35-XX) 27 Operator theory (47-XX) 17 Quantum theory (81-XX) 15 Optics, electromagnetic theory (78-XX) 12 Fluid mechanics (76-XX) 10 Probability theory and stochastic processes (60-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 7 History and biography (01-XX) 6 Potential theory (31-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of deformable solids (74-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 921 times in 664 Documents Cited by ▼ Year ▼ Asymptotic methods in equations of mathematical physics. Transl. from the Russian by E. Primrose. Zbl 0743.35001Vainberg, B. R. 95 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 0318.35006Vainberg, B. R. 72 1975 Linear water waves. A mathematical approach. Zbl 0996.76001Kuznetsov, N.; Maz’ya, V.; Vainberg, B. 63 2002 On eigenfunctions of an operator corresponding to the poles of the analytic continuation of the resolvent through the continuous spectrum. Zbl 0252.35050Vainberg, B. R. 40 1972 Radiation conditions for the difference Schrödinger operators. Zbl 1026.47025Shaban, W.; Vainberg, B. 35 2001 Continuous model for homopolymers. Zbl 1162.82031Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 32 2009 Scattering solutions in networks of thin fibers: small diameter asymptotics. Zbl 1210.35036Molchanov, S.; Vainberg, B. 30 2007 On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054Imaikin, Valery; Komech, Alexander; Vainberg, Boris 27 2006 Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem. Zbl 1285.35059Lakshtanov, E.; Vainberg, B. 26 2013 Principles of radiation, limit absorption and limit amplitude in the general theory of partial differential equations. Zbl 0172.13703Vajnberg, B. R. 22 1966 On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials. Zbl 0960.35077Kuchment, Peter; Vainberg, Boris 21 2000 Ellipticity in the interior transmission problem in anisotropic media. Zbl 1245.35126Lakshtanov, E.; Vainberg, B. 20 2012 First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator. Zbl 0980.35149Molchanov, S.; Novitskii, M.; Vainberg, B. 19 2001 On exterior elliptic problems polynomially depending on a spectral parameter, and the asymptotic behavior for large time of solutions of nonstationary problems. Zbl 0294.35031Vainberg, B. R. 19 1974 On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators. Zbl 1125.39021Kuchment, Peter; Vainberg, Boris 18 2006 On the analytical properties of the resolvent for a certain class of operatorpencils. Zbl 0186.20804Vajnberg, B. R. 17 1970 Bargmann type estimates of the counting function for general Schrödinger operators. Zbl 1280.47029Molchanov, S.; Vainberg, B. 16 2012 Scattering on the system of the sparse bumps. Multidimensional case. Zbl 1022.47510Molchanov, S.; Vainberg, B. 15 1999 Asymptotic methods in equations of mathematical physics. (Асимптотические методы в уравнениях математической физики.) Zbl 0518.35002Vaĭnberg, B. R. 13 1982 On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. Zbl 1193.35022Molchanov, Stanislav; Vainberg, Boris 13 2010 A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy. Zbl 1375.35120Lakshtanov, Evgeny L.; Novikov, Roman G.; Vainberg, Boris R. 12 2016 Full low-frequency asymptotic expansion for second-order elliptic equations in two dimensions. Zbl 0812.35028Kleinman, R.; Vainberg, B. 12 1994 Remarks on interior transmission eigenvalues, Weyl formula and branching billiards. Zbl 1245.81290Lakshtanov, E.; Vainberg, B. 11 2012 Bounds on positive interior transmission eigenvalues. Zbl 1256.35036Lakshtanov, E; Vainberg, B 10 2012 The problem of a point source in an inhomogeneous medium. Zbl 0293.35026Vainberg, B. R. 10 1974 On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations. Zbl 0863.35064Komech, A.; Vainberg, B. 9 1996 A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 9 2010 Behavior for large time of solutions of the Klein-Gordon equation. Zbl 0318.35051Vainberg, B. R. 9 1976 Spectral analysis of non-local Schrödinger operators. Zbl 1377.47003Kondratiev, Yu.; Molchanov, S.; Vainberg, B. 8 2017 Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068Imaykin, Valery; Komech, Alexander; Vainberg, Boris 8 2012 On spectral asymptotics for domains with fractal boundaries. Zbl 0867.58068Molchanov, S.; Vainberg, B. 8 1997 Asymptotic expansion as \(t\to\infty\) of the solutions of exterior boundary value problems for hyperbolic equations and quasiclassical approximations. Zbl 0907.35078Vainberg, B. R. 8 1988 Slowing down of the wave packets in quantum graphs. Zbl 1189.78036Molchanov, S.; Vainberg, B. 8 2005 Global limit theorems on the convergence of multidimensional random walks to stable processes. Zbl 1316.60034Agbor, A.; Molchanov, S.; Vainberg, B. 7 2015 Spectrum of multidimensional Schrödinger operators with sparse potentials. Zbl 0960.35071Molchanov, S.; Vainberg, B. 7 2000 Intermittency for branching walks with heavy tails. Zbl 1372.60124Getan, A.; Molchanov, S.; Vainberg, B. 7 2017 Sharp Weyl law for signed counting function of positive interior transmission eigenvalues. Zbl 1331.35252Lakshtanov, E.; Vainberg, B. 6 2015 Weyl type bound on positive interior transmission eigenvalues. Zbl 1301.35078Lakshtanov, E.; Vainberg, B. 6 2014 Slowing down and reflection of waves in truncated periodic media. Zbl 1099.34075Molchanov, S.; Vainberg, B. 6 2006 On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087Komech, A. I.; Kopylova, E. A.; Vainberg, B. R. 6 2008 Slowdown of the wave packages in finite slabs of periodic media. Zbl 1063.35063Molchanov, S.; Vainberg, B. 6 2004 The effect of disorder on the wave propagation in one-dimensional periodic optical systems. Zbl 1274.78068Godin, Yuri A.; Molchanov, Stanislav; Vainberg, Boris 5 2011 Uniformly nonelliptic problems. I, II. Zbl 0179.43304Vajnberg, B. R.; Grushin, V. V. 5 1968 On reconstruction of complex-valued once differentiable conductivities. Zbl 1423.35451Lakshtanov, Evgeny; Vainberg, Boris 5 2016 Recovery of interior eigenvalues from reduced near field data. Zbl 1386.35309Lakshtanov, Evgeny; Vainberg, Boris 5 2017 Large time behavior of solutions to difference wave operators. Zbl 1092.39006Islami, H.; Vainberg, B. 5 2006 Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. Zbl 1317.35046Molchanov, Stanislav; Vainberg, Boris 4 2006 Hypoelliptic equations in the whole space and the principle of limiting absorption. Zbl 0136.09601Vajnberg, B. R. 4 1964 Behavior of the solution of the Cauchy problem for a hyperbolic equation as \(t\to \infty\). Zbl 0191.39602Vajnberg, B. R. 4 1970 On negative spectrum of Schrödinger type operators. Zbl 1182.35173Molchanov, S.; Vainberg, B. 4 2009 Recovery of \(L^p\)-potential in the plane. Zbl 1375.35121Lakshtanov, Evgeny; Vainberg, Boris 4 2017 On ship waves. Zbl 0803.76017Maz’ya, V. G.; Vainberg, B. R. 4 1993 On embedding eigenvalues of perturbed periodic Schrödinger operators. Zbl 0902.35077Kuchment, Peter; Vainberg, Boris 4 1998 Quasiklassische Approximation instationärer Dispersionsprobleme. Zbl 0381.35022Vainberg, B. R. 4 1977 Wave propagation in a one-dimensional randomly perturbed periodic medium. Zbl 1191.81111Godin, Y. A.; Molchanov, S.; Vainberg, B. 4 2007 A priori estimates for high frequency scattering by obstacles of arbitrary shape. Zbl 1258.35156Lakshtanov, E.; Vainberg, B. 4 2012 Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum. Zbl 1061.47041Molchanov, S.; Vainberg, B. 4 2004 Quasiclassical approximation in stationary scattering problems. Zbl 0413.35025Vajnberg, B. R. 3 1978 Wave propagation in periodic networks of thin fibers. Zbl 1406.35382Molchanov, S.; Vainberg, B. 3 2010 On spectral asymptotics for domains with fractal boundaries of cabbage type. Zbl 0913.35099Molchanov, S.; Vainberg, B. 3 1998 On a point source in an inhomogeneous medium. Zbl 0306.35062Vainberg, B. R. 3 1975 Estimates for negative eigenvalues of a random Schrödinger operator. Zbl 1161.47032Safronov, O.; Vainberg, B. 3 2008 Population dynamics with moderate tails of the underlying random walk. Zbl 1419.60039Molchanov, Stanislav; Vainberg, Boris 2 2019 Non-random perturbations of the Anderson Hamiltonian. Zbl 1219.35059Molchanov, Stanislav; Vainberg, Boris 2 2011 Scattering by periodically moving obstacles. Zbl 0782.35051Vajnberg, B. R. 2 1992 The existence and uniqueness of a solution of certain elliptic equations in the entire plane. Zbl 0122.33801Vaĭnberg, B. R. 2 1962 On elliptic problems in unbounded domains. Zbl 0176.41002Vajnberg, B. R. 2 1969 On the strong Huyghens principle for a class of differential operators with constant coefficients. Zbl 0194.12804Vaĭnberg, B. R.; Gindikin, S. G. 2 1967 On the negative spectrum of the hierarchical Schrödinger operator. Zbl 1253.35088Molchanov, S.; Vainberg, B. 2 2012 A complete asymptotic expansion of the spectral function of second order elliptic operators in \(R^ n\). Zbl 0573.35070Vajnberg, B. R. 2 1985 Uniqueness in the inverse conductivity problem for complex-valued Lipschitz conductivities in the plane. Zbl 06780935Lakshtanov, Evgeny; Tejero, Jorge; Vainberg, Boris 2 2017 Certain stationary problems in the linear theory of surface waves. Zbl 0263.76008Vajnberg, B. R.; Maz’ya, V. G. 2 1972 On the plane problem of the motion of a body immersed in a fluid. Zbl 0296.35008Vajnberg, B. R.; Maz’ya, V. G. 2 1975 Das Verhalten der Lösungen der Klein-Gordon-Gleichung für große Zeiten. Zbl 0313.35053Vainberg, B. R. 2 1974 Propagation of waves in networks of thin fibers. Zbl 1425.74236Molchanov, S.; Vainberg, B. 2 2010 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 2 2003 Laplace operator in networks of thin fibers: spectrum near the threshold. Zbl 1173.35088Molchanov, S.; Vainberg, B. 2 2008 The spectrum of water waves produced by moving point sources, and a related inverse problem. Zbl 1163.74368Hellsten, Hans; Maz’ya, Vladimir; Vainberg, Boris 2 2003 On the local decrease of the energy of solutions of hyperbolic systems. Zbl 0494.35023Vajnberg, B. R. 1 1982 The characteristic Cauchy problem for a hyperbolic equation. Zbl 0504.35055Vajnberg, B. R.; Maz’ya, V. G. 1 1981 On mathematical foundation of the Brownian motor theory. Zbl 1297.35248Koralov, L.; Molchanov, S.; Vainberg, B. 1 2014 Localization on Avron-Exner-Last graphs. I: Local perturbations. Zbl 1104.81038Chen, Kingwood; Molchanov, Stanislav; Vainberg, Boris 1 2006 On scattering of solitons for wave equation coupled to a particle. Zbl 1387.35438Imaykin, Valery; Komech, Alexander; Vainberg, Boris 1 2007 Asymptotic representation of fundamental solutions of hypoelliptic equations, the problem extending throughout the whole space with conditions at infinity. Zbl 0136.09504Vaĭnberg, B. R. 1 1962 Some correct problems on the whole plane for hypoelliptic equations. Zbl 0175.10803Vajnberg, B. R. 1 1963 Uniformly noncoercive problems for elliptic equations. Zbl 0179.43303Vajnberg, B. R.; Grushin, V. V. 1 1967 On the principle of limiting amplitude. Zbl 0254.35035Vainberg, B. R. 1 1972 High frequency scattering by a classically invisible body. Zbl 1257.78010Lakshtanov, E.; Sleeman, B. D.; Vainberg, B. 1 2012 Resonance regimes of scattering by small bodies with impedance boundary conditions. Zbl 1202.35148Lakshtanov, E.; Vainberg, B. 1 2010 Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential. Zbl 1311.81112Godin, Y. A.; Molchanov, S.; Vainberg, B. 1 2013 Parametrix and asymptotics of the spectral function of differential operators in \(R^ n\). Zbl 0622.47051Vajnberg, B. R. 1 1986 Characteristic Cauchy problem for a hyperbolic equation. Zbl 0577.35074Vajnberg, B. R.; Maz’ya, V. G. 1 1985 Maz’ya’s works in the linear theory of water waves. Zbl 0937.35002Kuznetsov, N. G.; Vainberg, B. R. 1 1999 On the determination of the boundary impedance from the far field pattern. Zbl 1211.35275Godin, Yuri A.; Vainberg, Boris 1 2010 On the problem of the steady-state oscillations of a fluid layer of variable depth. Zbl 0296.35009Vajnberg, 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 0308.35011Vajnberg, B. R. 1 1975 Dispersive and effective properties of two-dimensional periodic media. Zbl 1472.78018Godin, Yuri A.; Vainberg, Boris 1 2019 Population dynamics with moderate tails of the underlying random walk. Zbl 1419.60039Molchanov, Stanislav; Vainberg, Boris 2 2019 Dispersive and effective properties of two-dimensional periodic media. Zbl 1472.78018Godin, Yuri A.; Vainberg, Boris 1 2019 Spectral analysis of non-local Schrödinger operators. Zbl 1377.47003Kondratiev, Yu.; Molchanov, S.; Vainberg, B. 8 2017 Intermittency for branching walks with heavy tails. Zbl 1372.60124Getan, A.; Molchanov, S.; Vainberg, B. 7 2017 Recovery of interior eigenvalues from reduced near field data. Zbl 1386.35309Lakshtanov, Evgeny; Vainberg, Boris 5 2017 Recovery of \(L^p\)-potential in the plane. Zbl 1375.35121Lakshtanov, Evgeny; Vainberg, Boris 4 2017 Uniqueness in the inverse conductivity problem for complex-valued Lipschitz conductivities in the plane. Zbl 06780935Lakshtanov, Evgeny; Tejero, Jorge; Vainberg, Boris 2 2017 A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy. Zbl 1375.35120Lakshtanov, Evgeny L.; Novikov, Roman G.; Vainberg, Boris R. 12 2016 On reconstruction of complex-valued once differentiable conductivities. Zbl 1423.35451Lakshtanov, Evgeny; Vainberg, Boris 5 2016 Global limit theorems on the convergence of multidimensional random walks to stable processes. Zbl 1316.60034Agbor, A.; Molchanov, S.; Vainberg, B. 7 2015 Sharp Weyl law for signed counting function of positive interior transmission eigenvalues. Zbl 1331.35252Lakshtanov, E.; Vainberg, B. 6 2015 Weyl type bound on positive interior transmission eigenvalues. Zbl 1301.35078Lakshtanov, E.; Vainberg, B. 6 2014 On mathematical foundation of the Brownian motor theory. Zbl 1297.35248Koralov, L.; Molchanov, S.; Vainberg, B. 1 2014 Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem. Zbl 1285.35059Lakshtanov, E.; Vainberg, B. 26 2013 Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential. Zbl 1311.81112Godin, Y. A.; Molchanov, S.; Vainberg, B. 1 2013 Ellipticity in the interior transmission problem in anisotropic media. Zbl 1245.35126Lakshtanov, E.; Vainberg, B. 20 2012 Bargmann type estimates of the counting function for general Schrödinger operators. Zbl 1280.47029Molchanov, S.; Vainberg, B. 16 2012 Remarks on interior transmission eigenvalues, Weyl formula and branching billiards. Zbl 1245.81290Lakshtanov, E.; Vainberg, B. 11 2012 Bounds on positive interior transmission eigenvalues. Zbl 1256.35036Lakshtanov, E; Vainberg, B 10 2012 Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068Imaykin, Valery; Komech, Alexander; Vainberg, Boris 8 2012 A priori estimates for high frequency scattering by obstacles of arbitrary shape. Zbl 1258.35156Lakshtanov, E.; Vainberg, B. 4 2012 On the negative spectrum of the hierarchical Schrödinger operator. Zbl 1253.35088Molchanov, S.; Vainberg, B. 2 2012 High frequency scattering by a classically invisible body. Zbl 1257.78010Lakshtanov, E.; Sleeman, B. D.; Vainberg, B. 1 2012 The effect of disorder on the wave propagation in one-dimensional periodic optical systems. Zbl 1274.78068Godin, Yuri A.; Molchanov, Stanislav; Vainberg, Boris 5 2011 Non-random perturbations of the Anderson Hamiltonian. Zbl 1219.35059Molchanov, Stanislav; Vainberg, Boris 2 2011 On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities. Zbl 1193.35022Molchanov, Stanislav; Vainberg, Boris 13 2010 A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 9 2010 Wave propagation in periodic networks of thin fibers. Zbl 1406.35382Molchanov, S.; Vainberg, B. 3 2010 Propagation of waves in networks of thin fibers. Zbl 1425.74236Molchanov, S.; Vainberg, B. 2 2010 Resonance regimes of scattering by small bodies with impedance boundary conditions. Zbl 1202.35148Lakshtanov, E.; Vainberg, B. 1 2010 On the determination of the boundary impedance from the far field pattern. Zbl 1211.35275Godin, Yuri A.; Vainberg, Boris 1 2010 Continuous model for homopolymers. Zbl 1162.82031Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B. 32 2009 On negative spectrum of Schrödinger type operators. Zbl 1182.35173Molchanov, S.; Vainberg, B. 4 2009 On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087Komech, A. I.; Kopylova, E. A.; Vainberg, B. R. 6 2008 Estimates for negative eigenvalues of a random Schrödinger operator. Zbl 1161.47032Safronov, O.; Vainberg, B. 3 2008 Laplace operator in networks of thin fibers: spectrum near the threshold. Zbl 1173.35088Molchanov, S.; Vainberg, B. 2 2008 Scattering solutions in networks of thin fibers: small diameter asymptotics. Zbl 1210.35036Molchanov, S.; Vainberg, B. 30 2007 Wave propagation in a one-dimensional randomly perturbed periodic medium. Zbl 1191.81111Godin, Y. A.; Molchanov, S.; Vainberg, B. 4 2007 On scattering of solitons for wave equation coupled to a particle. Zbl 1387.35438Imaykin, Valery; Komech, Alexander; Vainberg, Boris 1 2007 On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054Imaikin, Valery; Komech, Alexander; Vainberg, Boris 27 2006 On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators. Zbl 1125.39021Kuchment, Peter; Vainberg, Boris 18 2006 Slowing down and reflection of waves in truncated periodic media. Zbl 1099.34075Molchanov, S.; Vainberg, B. 6 2006 Large time behavior of solutions to difference wave operators. Zbl 1092.39006Islami, H.; Vainberg, B. 5 2006 Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. Zbl 1317.35046Molchanov, Stanislav; Vainberg, Boris 4 2006 Localization on Avron-Exner-Last graphs. I: Local perturbations. Zbl 1104.81038Chen, Kingwood; Molchanov, Stanislav; Vainberg, Boris 1 2006 Slowing down of the wave packets in quantum graphs. Zbl 1189.78036Molchanov, S.; Vainberg, B. 8 2005 Slowdown of the wave packages in finite slabs of periodic media. Zbl 1063.35063Molchanov, S.; Vainberg, B. 6 2004 Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum. Zbl 1061.47041Molchanov, S.; Vainberg, B. 4 2004 Quasi 1D localization: deterministic and random potentials. Zbl 1213.82048Kirsch, W.; Molchanov, S.; Pastur, L.; Vainberg, B. 2 2003 The spectrum of water waves produced by moving point sources, and a related inverse problem. Zbl 1163.74368Hellsten, Hans; Maz’ya, Vladimir; Vainberg, Boris 2 2003 Linear water waves. A mathematical approach. Zbl 0996.76001Kuznetsov, N.; Maz’ya, V.; Vainberg, B. 63 2002 Radiation conditions for the difference Schrödinger operators. Zbl 1026.47025Shaban, W.; Vainberg, B. 35 2001 First KdV integrals and absolutely continuous spectrum for 1-D Schrödinger operator. Zbl 0980.35149Molchanov, S.; Novitskii, M.; Vainberg, B. 19 2001 On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials. Zbl 0960.35077Kuchment, Peter; Vainberg, Boris 21 2000 Spectrum of multidimensional Schrödinger operators with sparse potentials. Zbl 0960.35071Molchanov, S.; Vainberg, B. 7 2000 Scattering on the system of the sparse bumps. Multidimensional case. Zbl 1022.47510Molchanov, S.; Vainberg, B. 15 1999 Maz’ya’s works in the linear theory of water waves. Zbl 0937.35002Kuznetsov, N. G.; Vainberg, B. R. 1 1999 On embedding eigenvalues of perturbed periodic Schrödinger operators. Zbl 0902.35077Kuchment, Peter; Vainberg, Boris 4 1998 On spectral asymptotics for domains with fractal boundaries of cabbage type. Zbl 0913.35099Molchanov, S.; Vainberg, B. 3 1998 On spectral asymptotics for domains with fractal boundaries. Zbl 0867.58068Molchanov, S.; Vainberg, B. 8 1997 On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations. Zbl 0863.35064Komech, A.; Vainberg, B. 9 1996 Full low-frequency asymptotic expansion for second-order elliptic equations in two dimensions. Zbl 0812.35028Kleinman, R.; Vainberg, B. 12 1994 On ship waves. Zbl 0803.76017Maz’ya, V. G.; Vainberg, B. R. 4 1993 Scattering by periodically moving obstacles. Zbl 0782.35051Vajnberg, B. R. 2 1992 Asymptotic methods in equations of mathematical physics. Transl. from the Russian by E. Primrose. Zbl 0743.35001Vainberg, B. R. 95 1989 Asymptotic expansion as \(t\to\infty\) of the solutions of exterior boundary value problems for hyperbolic equations and quasiclassical approximations. Zbl 0907.35078Vainberg, B. R. 8 1988 Parametrix and asymptotics of the spectral function of differential operators in \(R^ n\). Zbl 0622.47051Vajnberg, B. R. 1 1986 A complete asymptotic expansion of the spectral function of second order elliptic operators in \(R^ n\). Zbl 0573.35070Vajnberg, B. R. 2 1985 Characteristic Cauchy problem for a hyperbolic equation. Zbl 0577.35074Vajnberg, B. R.; Maz’ya, V. G. 1 1985 Asymptotic methods in equations of mathematical physics. (Асимптотические методы в уравнениях математической физики.) Zbl 0518.35002Vaĭnberg, B. R. 13 1982 On the local decrease of the energy of solutions of hyperbolic systems. Zbl 0494.35023Vajnberg, B. R. 1 1982 The characteristic Cauchy problem for a hyperbolic equation. Zbl 0504.35055Vajnberg, B. R.; Maz’ya, V. G. 1 1981 Quasiclassical approximation in stationary scattering problems. Zbl 0413.35025Vajnberg, B. R. 3 1978 Quasiklassische Approximation instationärer Dispersionsprobleme. Zbl 0381.35022Vainberg, B. R. 4 1977 Behavior for large time of solutions of the Klein-Gordon equation. Zbl 0318.35051Vainberg, 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 0318.35006Vainberg, B. R. 72 1975 On a point source in an inhomogeneous medium. Zbl 0306.35062Vainberg, B. R. 3 1975 On the plane problem of the motion of a body immersed in a fluid. Zbl 0296.35008Vajnberg, B. R.; Maz’ya, V. G. 2 1975 On the problem of the steady-state oscillations of a fluid layer of variable depth. Zbl 0296.35009Vajnberg, 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 0308.35011Vajnberg, 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 0294.35031Vainberg, B. R. 19 1974 The problem of a point source in an inhomogeneous medium. Zbl 0293.35026Vainberg, B. R. 10 1974 Das Verhalten der Lösungen der Klein-Gordon-Gleichung für große Zeiten. Zbl 0313.35053Vainberg, 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 0252.35050Vainberg, B. R. 40 1972 Certain stationary problems in the linear theory of surface waves. Zbl 0263.76008Vajnberg, B. R.; Maz’ya, V. G. 2 1972 On the principle of limiting amplitude. Zbl 0254.35035Vainberg, B. R. 1 1972 On the analytical properties of the resolvent for a certain class of operatorpencils. Zbl 0186.20804Vajnberg, B. R. 17 1970 Behavior of the solution of the Cauchy problem for a hyperbolic equation as \(t\to \infty\). Zbl 0191.39602Vajnberg, B. R. 4 1970 On elliptic problems in unbounded domains. Zbl 0176.41002Vajnberg, B. R. 2 1969 Uniformly nonelliptic problems. I, II. Zbl 0179.43304Vajnberg, B. R.; Grushin, V. V. 5 1968 On the strong Huyghens principle for a class of differential operators with constant coefficients. Zbl 0194.12804Vaĭnberg, B. R.; Gindikin, S. G. 2 1967 Uniformly noncoercive problems for elliptic equations. Zbl 0179.43303Vajnberg, B. R.; Grushin, V. V. 1 1967 Principles of radiation, limit absorption and limit amplitude in the general theory of partial differential equations. Zbl 0172.13703Vajnberg, B. R. 22 1966 Hypoelliptic equations in the whole space and the principle of limiting absorption. Zbl 0136.09601Vajnberg, B. R. 4 1964 Some correct problems on the whole plane for hypoelliptic equations. Zbl 0175.10803Vajnberg, B. R. 1 1963 The existence and uniqueness of a solution of certain elliptic equations in the entire plane. Zbl 0122.33801Vaĭnberg, B. R. 2 1962 Asymptotic representation of fundamental solutions of hypoelliptic equations, the problem extending throughout the whole space with conditions at infinity. Zbl 0136.09504Vaĭnberg, B. R. 1 1962 all cited Publications top 5 cited Publications all top 5 Cited by 648 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. 12 Spence, Euan A. 11 Vodev, Georgi 10 Lakshtanov, Evgeny L. 10 Petkov, Vesselin M. 8 Kuchment, Peter A. 8 Kuznetsov, Nikolai Germanovich 8 Motygin, Oleg Valer’evich 8 Romanov, Vladimir Gavrilovich 8 Sharma, Basant Lal 7 Chen, Lung-Hui 7 Dudnikova, Tat’yana V. 7 Shibata, Yoshihiro 6 Cakoni, Fioralba 6 Denisov, Sergey A. 6 Koralov, Leonid B. 6 Rabinovich, Vladimir Samuilovich 6 Taskinen, Jari 6 Zhevandrov, Peter N. 5 Godin, Yuri A. 5 Haddar, Houssem 5 Korotyaev, Evgeny L. 5 Morioka, Hisashi 5 Witsch, Karl Josef 5 Wunsch, Jared 4 Bony, Jean-François 4 Comech, Andrew 4 Galkowski, Jeffrey 4 Imaikin, Valery 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 Novikov, Roman G. 4 Pankrashkin, Konstantin 4 Pierotti, Dario 4 Racke, Reinhard 4 Rozenblum, Grigori V. 4 Safronov, Oleg 4 Solomyak, Mikhaĭl Zakharovich 4 Weck, Norbert 3 Aloui, Lassaad 3 Burq, Nicolas 3 Chesnel, Lucas 3 Cranston, Michael Craig 3 Dobrokhotov, Sergei Yurievich 3 He, Jiayi 3 Ikehata, Ryo 3 Jensen, Arne 3 Kawashita, Mishio 3 Kostenko, Aleksey S. 3 Liu, Hongyu 3 Liu, Wencai 3 Lyalinov, Mikhail Anatolievich 3 Mashkin, Timur 3 Matevosyan, Hovik A. 3 Maz’ya, Vladimir Gilelevich 3 McIver, Philip 3 Nguyen, Dinh Liem 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 Belibassakis, Konstadinos A. 2 Blåsten, Eemeli 2 Blåsten, Emilia L. K. 2 Boumaza, Hakim 2 Bulinskaya, Ekaterina Vladimirovna ...and 548 more Authors all top 5 Cited in 182 Serials 28 Journal of Mathematical Analysis and Applications 27 Journal of Mathematical Sciences (New York) 26 Journal of Functional Analysis 24 Applicable Analysis 23 Communications in Partial Differential Equations 20 Communications in Mathematical Physics 19 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 9 St. Petersburg Mathematical Journal 9 Annales Henri Poincaré 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 Journal of Inverse and Ill-Posed Problems 7 Doklady Mathematics 6 Annales de l’Institut Fourier 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Applied Mathematics 5 Computers & Mathematics with Applications 5 Journal d’Analyse Mathématique 5 Journal of Applied Mathematics and Mechanics 5 Duke Mathematical Journal 5 Integral Equations and Operator Theory 5 Mathematische Annalen 5 Computational Mathematics and Mathematical Physics 5 Mathematical Physics, Analysis and Geometry 4 Journal of Engineering Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Russian Mathematical Surveys 4 Theoretical and Mathematical Physics 4 Functional Analysis and its Applications 4 Numerische Mathematik 4 Applied Mathematical Modelling 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 Reviews in Mathematical Physics 3 Mathematische Zeitschrift 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 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 Transactions of A. Razmadze Mathematical Institute 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 ...and 82 more Serials all top 5 Cited in 43 Fields 419 Partial differential equations (35-XX) 131 Operator theory (47-XX) 114 Quantum theory (81-XX) 78 Fluid mechanics (76-XX) 72 Optics, electromagnetic theory (78-XX) 56 Ordinary differential equations (34-XX) 54 Mechanics of deformable solids (74-XX) 52 Probability theory and stochastic processes (60-XX) 40 Numerical analysis (65-XX) 35 Statistical mechanics, structure of matter (82-XX) 31 Difference and functional equations (39-XX) 25 Global analysis, analysis on manifolds (58-XX) 24 Dynamical systems and ergodic theory (37-XX) 15 Functional analysis (46-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Integral equations (45-XX) 13 Potential theory (31-XX) 9 Geophysics (86-XX) 8 Number theory (11-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Measure and integration (28-XX) 7 Functions of a complex variable (30-XX) 7 Biology and other natural sciences (92-XX) 6 Combinatorics (05-XX) 6 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Statistics (62-XX) 3 Algebraic geometry (14-XX) 2 History and biography (01-XX) 2 Special functions (33-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 Convex and discrete geometry (52-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.