Edit Profile (opens in new tab) Buslaev, Vladimir Savel’evich (b. 1937 d. 2012) Co-Author Distance Author ID: buslaev.vladimir-s Published as: Buslaev, V. S.; Buslaev, V.; Buslaev, Vladimir; Buslaev, Vladimir S. more...less Homepage: http://math.nw.ru/site/en/people/Vladimir.Buslaev/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND Documents Indexed: 126 Publications since 1960, including 1 Book and 2 Additional arXiv Preprints 2 Contributions as Editor Biographic References: 4 Publications Co-Authors: 49 Co-Authors with 85 Joint Publications 1,553 Co-Co-Authors all top 5 Co-Authors 35 single-authored 12 Budylin, A. M. 8 Merkur’ev, Stanislav Petrovich 7 Sukhanov, Vladimir V. 6 Levin, S. B. 5 Faddeev, Lyudvig Dmitrievich 5 Fedotov, Alexander 5 Perelman, Galina 5 Solomyak, Mikhaĭl Zakharovich 5 Yafaev, Dimitri R. 4 Dmitrieva, L. A. 4 Salikov, S. P. 3 Grigis, Alain 3 Rybakina, E. A. 3 Sulem, Catherine 2 Buldyrev, V. S. 2 Buslaeva, M. V. 2 Chernenko, V. G. 2 Gindikin, Simon Grigorevich 2 Komech, Alexander Ilich 2 Ladyzhenskaya, Ol’ga Aleksandrovna 2 Nalimova, E. A. 2 Pastur, Leonid Andreevich 2 Pozharskii, Alexey A. 2 Skriganov, Maxim M. 2 Vershik, Anatoliĭ Moiseevich 1 Alimov, A. L. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bakulenko, A. F. 1 Comech, Andrew 1 Fomin, Vladimir Nikolaevich 1 Gel’fand, Israil’ Moiseevich 1 Grecchi, Vincenzo 1 Grikurov, Valery E. 1 Grinina, E. A. 1 Khavin, Viktor Petrovich 1 Kislyakov, Sergeĭ Vital’evich 1 Kopylova, Elena A. 1 Laptev, Ari 1 Marchenko, Vladimir Aleksandrovich 1 Neittaanmäki, Pekka J. 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Plamenevskiĭ, Boris Alekseevich 1 Pushnitski, Alexander B. 1 Strazdin, V. Yu. 1 Stuart, David M. A. 1 Suslina, Tat’yana Aleksandrovna 1 Takhtajan, Leon Armenovich 1 Ural’tseva, Nina Nikolaevna 1 Vaĭnberg, Boris Rufimovich all top 5 Serials 12 St. Petersburg Mathematical Journal 8 Journal of Soviet Mathematics 7 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 6 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 5 Theoretical and Mathematical Physics 5 Functional Analysis and its Applications 5 Soviet Mathematics. Doklady 5 Problemy Matematicheskoĭ Fiziki 4 Teoreticheskaya i Matematicheskaya Fizika 4 Algebra i Analiz 4 Soviet Physics. Doklady 3 Russian Mathematical Surveys 3 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya 2 Selecta Mathematica Sovietica 2 Vestnik Leningrad University. Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Mathematics and Computers in Simulation 1 Mathematics of the USSR. Izvestiya 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Asymptotic Analysis 1 Leningrad Mathematical Journal 1 Communications in Partial Differential Equations 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal of Physics A: Mathematical and General 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Séminaire Équations aux Dérivées Partielles 1 Journal of Mathematical Sciences (New York) 1 Doklady Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Oberwolfach Reports 1 Journal of Physics A: Mathematical and Theoretical 1 Translations. Series 2. American Mathematical Society all top 5 Fields 54 Partial differential equations (35-XX) 30 Quantum theory (81-XX) 29 Operator theory (47-XX) 25 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 6 Integral equations (45-XX) 5 History and biography (01-XX) 5 Difference and functional equations (39-XX) 4 Potential theory (31-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Abstract harmonic analysis (43-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 901 times in 549 Documents Cited by ▼ Year ▼ On asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1028.35139 Buslaev, Vladimir S.; Sulem, Catherine 102 2003 On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108 Buslaev, V. S.; Perel’man, G. S. 97 1995 Equivalence of unstable anharmonic oscillators and double wells. Zbl 0817.47077 Buslaev, Vladimir; Grecchi, Vincenzo 70 1993 Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112 Buslaev, V. S.; Perel’man, G. S. 61 1992 Formulas for traces for a singular Sturm-Liouville differential operator. Zbl 0129.06501 Buslaev, V. S.; Faddeev, L. D. 46 1960 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247 Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 32 2008 Semiclassical approximation for equations with periodic coefficients. Zbl 0698.35130 Buslaev, V. S. 28 1987 Über eine umgekehrte Dispersionsaufgabe für die eindimensionale Schrödingergleichung auf der ganzen Achse. Zbl 0243.34013 Buslaev, V.; Fomin, V. 26 1962 On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111 Buslaev, V. S.; Perelman, Galina 22 1992 Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. Zbl 0862.35148 Budylin, A. M.; Buslaev, V. S. 19 1995 On the difference equations with periodic coefficients. Zbl 1012.39008 Buslaev, V.; Fedotov, A. 16 2001 Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146 Buslaev, V. S.; Perel’man, G. S. 14 1992 On adiabatic perturbation of a periodic potential. Zbl 0534.34064 Buslaev, V. S. 13 1984 Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100 Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A. 13 1986 Simulation of instability of bright solitons for NLS with saturating nonlinearity. Zbl 0972.78019 Buslaev, V. S.; Grikurov, V. E. 13 2001 Scattered plane waves, spectral asymptotics and trace formulas in exterior problems. Zbl 0224.47023 Buslaev, V. S. 11 1971 The complex WKB method for Harper’s equation. I. Zbl 0839.34066 Buslaev, V. S.; Fedotov, A. A. 10 1994 Bloch electron in an external field. Zbl 0714.34128 Buslaev, V. S.; Dmitrieva, L. A. 10 1989 Imagrinary parts of Stark-Wannier resonances. Zbl 1001.34075 Buslaev, Vladimir; Grigis, Alain 10 1998 Monodromization and the Harper equation. Zbl 0880.34082 Buslaev, V.; Fedotov, A. 9 1994 Adiabatic perturbation of a periodic potential. II. Zbl 0643.34068 Buslaev, V. S.; Dmitrieva, L. A. 9 1987 Asymptotic behavior of the eigenfunctions of the many-particle Schrödinger operator. I: One-dimensional particles. Zbl 1160.81476 Buslaev, V. S.; Levin, S. B. 8 2008 New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. Zbl 1193.81111 Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T. 8 2010 Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003 Budylin, A. M.; Buslaev, V. S. 7 1991 On the diffraction characteristics of the scattering problem for a quantum system of three one-dimensional particles. Zbl 0494.47010 Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 7 1979 A Bloch electron in an external field. Zbl 0726.34070 Buslaev, V. S.; Dmitrieva, L. A. 7 1990 Complex WKB method for Harper’s equation. Zbl 0821.34062 Buslaev, V. S.; Fedotov, A. A. 7 1994 Turning points for adiabatically perturbed periodic equations. Zbl 0987.35013 Buslaev, Vladimir; Grigis, Alain 7 2001 Adiabatic perturbation of a periodic potential. Zbl 0557.34053 Buslaev, V. S. 7 1984 Potential theory and geometrical optics. Zbl 0284.35017 Buslaev, V. S. 7 1971 Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation. Zbl 0296.35023 Buslaev, V. S.; Skriganov, M. M. 7 1975 Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles is free of diffractional effects. Zbl 0413.35058 Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 6 1979 A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. Zbl 1272.81185 Buslaev, V. S.; Levin, S. B. 6 2012 Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times. Zbl 0597.35102 Buslaev, V. S.; Sukhanov, V. V. 6 1986 Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II: Charged one-dimensional particles. Zbl 1219.81235 Buslaev, V. S.; Levin, S. B. 6 2011 Kronig-Penney electron in a homogeneous electric field. Zbl 0935.34072 Buslaev, V. S. 6 1999 On the asymptotic behaviour for \(t\to \infty\) of the solutions of the equation \(\psi_{xx} + u(x,t) \psi + (\lambda/4) \psi = 0\) with a potential \(u\) satisfying the Korteweg-deVries equation. I. Zbl 0513.35011 Buslaev, V. S.; Sukhanov, V. V. 5 1982 Bloch solutions for difference equations. Zbl 0847.39002 Buslaev, V. S.; Fedotov, A. A. 5 1995 Über das asymptotische Verhalten der spektralen Charakteristiken der Außenprobleme für den Schrödingeroperator. Zbl 0311.35010 Buslaev, V. S. 5 1975 The Harper equation: Monodromization without quasiclassics. Zbl 0866.34071 Buslaev, V. S.; Fedotov, A. A. 5 1996 The generating integral and the canonical Maslov operator in the WKB method. Zbl 0204.44805 Buslaev, V. S. 5 1969 Quantization and the WKB method. Zbl 0234.35011 Buslaev, V. S. 5 1970 Spurformeln und einige asymptotische Abschätzungen des Kerns der Resolvente für den Schrödingeroperator im dreidimensionalen Raum. Zbl 0203.13403 Buslaev, V. S. 5 1966 The scattering matrix and associated formulas in Hamiltonian mechanics. Zbl 1218.37072 Buslaev, Vladimir; Pushnitski, Alexander 5 2010 A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024 Buslaev, V.; Pastur, L. 5 2002 Variational calculus. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie). Zbl 0489.49001 Buslaev, V. S. 4 1980 On the asymptotic behaviour of solutions of the Korteweg-deVries equation for long times. Zbl 0514.35077 Buslaev, V. S.; Sukhanov, V. V. 4 1982 Asymptotic methods in problems of sound propagation in ocean wave guides and their numerical realization. Zbl 0482.76078 Buldyrev, V. S.; Buslaev, V. S. 4 1981 On the asymptotic behavior of the spectral characteristics of exterior problems for the Schrödinger operator. Zbl 0324.35006 Buslaev, V. S. 4 1976 Bloch solutions for difference equations. Zbl 0859.39001 Buslaev, V. S.; Fedotov, A. A. 4 1995 Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. Zbl 0956.35114 Budylin, A. M.; Buslaev, V. S. 4 1996 Trace formulas for Schrödinger’s operator in three-space. Zbl 0118.09302 Buslaev, V. S. 4 1962 Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001 Budylin, A. M.; Buslaev, V. S. 4 1993 Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects. Zbl 0515.35069 Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 3 1983 Bloch electrons in an external electric field. Zbl 0725.34097 Buslaev, V. S.; Dmitrieva, L. A. 3 1989 Lokales spektrales asymptotisches Verhalten der Greenschen Funktion inäußeren Aufgaben für den Schrödinger-Operator. Zbl 0306.47005 Buslaev, V. S. 3 1975 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025 Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 3 2010 The functional structure of the monodromy matrix for Harper’s equation. Zbl 0816.34058 Buslaev, Vladimir; Fedotov, Alexander 3 1994 On the short-wave asymptotic limit in the problem of diffraction by convex bodies. Zbl 0124.44801 Buslaev, V. S. 3 1962 Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011 3 1999 Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization. Zbl 0531.76089 Buldyrev, V. S.; Buslaev, V. S. 2 1984 The trace formula for the nonlinear Klein-Gordon equation. Zbl 0807.35132 Buslaev, V. S.; Rybakina, E. A. 2 1993 The Harper equation: Monodromization without quasiclassics. Zbl 0849.34066 Buslaev, V. S.; Fedotov, A. A. 2 1996 The structure of an acoustic field near the surface of deep sea. Zbl 0482.76077 Buslaev, V. S. 2 1981 Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. Zbl 1307.35179 Budylin, A. M.; Buslaev, V. S. 2 2014 Asymptotic behavior of solutions for t\(\to \infty\) of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with a potential u satisfying the Korteweg-de Vries equation. Zbl 0606.35078 Buslaev, V. S.; Sukhanov, V. V. 2 1986 Spectral properties of the monodromy matrix for Harper equation. Zbl 0874.39006 Buslaev, V.; Fedotov, A. 2 1996 The trace formula in Hamiltonian mechanics. Zbl 0537.70016 Buslaev, V. S.; Rybakina, E. A. 2 1982 Spectral properties of the operators \(H\psi =-\psi_{xx}+p(x)\psi +v(\epsilon x)\psi\), p is periodic. Zbl 0723.47042 Buslaev, V. S. 2 1990 On the asymptotic behaviour of solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with the potential u satisfying the Korteweg-de Vries equations, as t\(\to \infty\). II. Zbl 0559.35074 Buslaev, V. S.; Sukhanov, V. V. 2 1984 Quasiclassical integral equations. Zbl 0769.45009 Budylin, A. M.; Buslaev, V. S. 2 1991 Trace formula in Lagrangian mechanics. Zbl 0598.70023 Buslaev, V. S.; Nalimova, E. A. 2 1984 On the continual integral for the parabolic equation of second order. Zbl 0226.35042 Alimov, A. L.; Buslaev, V. S. 2 1972 Asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1017.35104 Buslaev, Vladimir S.; Sulem, Catherine 2 2002 Koordinatenasymptotik der Lösung des Streuungsproblems für die Schrödingergleichung. Zbl 0291.35020 Buslaev, V. S.; Skriganov, M. M. 2 1974 Kontinuierliche Integrale und die Asymptotik der Lösungen parabolischer Gleichungen für \(t\to 0\). Anwendungen auf die Diffraktion. Zbl 0164.12602 Buslaev, V. S. 2 1967 Quantization and the WKB method. Zbl 0244.35034 Buslaev, V. S. 2 1972 On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. Zbl 1026.01503 Buslaev, V.; Solomyak, M.; Yafaev, D. 2 1999 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026 Buslaev, V. S.; Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R. 2 2000 The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. Zbl 0966.35121 Budylin, A. M.; Buslaev, V. S. 2 2000 The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. Zbl 0998.35050 Budylin, A. M.; Buslaev, V. S. 1 2001 On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials. Zbl 0739.35053 Buslaev, V. 1 1991 The unitary regularization for a threeparticle scattering. Zbl 0375.47005 Buslaev, V. S.; Vakulenko, A. F. 1 1977 Linear adiabatic dynamics generated by operators with continuous spectrum. I. Zbl 1152.35336 Buslaev, Vladimir S.; Sulem, Catherine 1 2008 Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. Zbl 1136.35466 Budylin, A. M.; Buslaev, V. S. 1 2001 Spectral properties of adiabatically perturbed differential operators with periodic coefficients. Zbl 0726.34068 Buslaev, V. S. 1 1991 Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197 Buslaev, V. S.; Perel’man, G. S. 1 1992 Über die Spurformeln in mehrkanaligen Aufgaben. Zbl 0339.47014 Buslaev, V. S. 1 1972 Homogenization in the scattering problem. Zbl 1271.35058 Buslaev, V. S.; Pozharskii, A. A. 1 2010 Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. Zbl 1180.81132 Buslaev, V. S.; Levin, S. B. 1 2008 Spectral identities for a system of many quantum particles. Zbl 1268.81072 Buslaev, V. S.; Chernenko, V. G. 1 1987 Remarks on the quantum adiabatic theorem. Zbl 1081.81040 Buslaev, V. S.; Grinina, E. A. 1 2005 Über asymptotische Formeln für kurze Wellen beim Problem der Beugung an konvexen Körpern. Zbl 0117.23303 Buslaev, V. S. 1 1962 Semiclassical integral equations on the semiaxis. Zbl 0869.45003 Budylin, A. M.; Buslaev, V. S. 1 1996 On the diffraction character of scattering in a quantum system of three one-dimensional particles. Zbl 0616.47008 Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 1 1987 Regularization of many-particle scattering. Zbl 0617.47006 Buslaev, V. S. 1 1984 On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. Zbl 0635.47006 Budylin, A. M.; Buslaev, V. S. 1 1986 Mikhail Shlemovich Birman (on the occasion of his 75th birthday). Zbl 1061.01500 Buslaev, V. S.; Solomyak, M. Z.; Yafaev, D. R. 1 2004 One-dimensional Schrödinger operator on the half-line: the differential equation for eigenfunctions with respect to the spectral parameter and an analog of the Freud equation. Zbl 1168.34367 Buslaev, V. S.; Strazdin, V. Yu. 1 2007 Trace formula in Hamiltonian mechanics. Zbl 0561.70016 Buslaev, V. S.; Rybakina, E. A. 1 1985 Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. Zbl 1307.35179 Budylin, A. M.; Buslaev, V. S. 2 2014 A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. Zbl 1272.81185 Buslaev, V. S.; Levin, S. B. 6 2012 Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II: Charged one-dimensional particles. Zbl 1219.81235 Buslaev, V. S.; Levin, S. B. 6 2011 New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. Zbl 1193.81111 Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T. 8 2010 The scattering matrix and associated formulas in Hamiltonian mechanics. Zbl 1218.37072 Buslaev, Vladimir; Pushnitski, Alexander 5 2010 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025 Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. 3 2010 Homogenization in the scattering problem. Zbl 1271.35058 Buslaev, V. S.; Pozharskii, A. A. 1 2010 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247 Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 32 2008 Asymptotic behavior of the eigenfunctions of the many-particle Schrödinger operator. I: One-dimensional particles. Zbl 1160.81476 Buslaev, V. S.; Levin, S. B. 8 2008 Linear adiabatic dynamics generated by operators with continuous spectrum. I. Zbl 1152.35336 Buslaev, Vladimir S.; Sulem, Catherine 1 2008 Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. Zbl 1180.81132 Buslaev, V. S.; Levin, S. B. 1 2008 One-dimensional Schrödinger operator on the half-line: the differential equation for eigenfunctions with respect to the spectral parameter and an analog of the Freud equation. Zbl 1168.34367 Buslaev, V. S.; Strazdin, V. Yu. 1 2007 Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics. Zbl 1142.35109 Budylin, A. M.; Buslaev, V. S. 1 2007 Remarks on the quantum adiabatic theorem. Zbl 1081.81040 Buslaev, V. S.; Grinina, E. A. 1 2005 Adiabatic asymptotics of the reflection coefficient. Zbl 1084.34026 Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. 1 2005 Mikhail Shlemovich Birman (on the occasion of his 75th birthday). Zbl 1061.01500 Buslaev, V. S.; Solomyak, M. Z.; Yafaev, D. R. 1 2004 On asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1028.35139 Buslaev, Vladimir S.; Sulem, Catherine 102 2003 Asymptotic comparison of differential equations. Zbl 1055.34104 Buslaev, V. S. 1 2003 A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024 Buslaev, V.; Pastur, L. 5 2002 Asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1017.35104 Buslaev, Vladimir S.; Sulem, Catherine 2 2002 On the difference equations with periodic coefficients. Zbl 1012.39008 Buslaev, V.; Fedotov, A. 16 2001 Simulation of instability of bright solitons for NLS with saturating nonlinearity. Zbl 0972.78019 Buslaev, V. S.; Grikurov, V. E. 13 2001 Turning points for adiabatically perturbed periodic equations. Zbl 0987.35013 Buslaev, Vladimir; Grigis, Alain 7 2001 The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. Zbl 0998.35050 Budylin, A. M.; Buslaev, V. S. 1 2001 Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. Zbl 1136.35466 Budylin, A. M.; Buslaev, V. S. 1 2001 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026 Buslaev, V. S.; Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R. 2 2000 The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. Zbl 0966.35121 Budylin, A. M.; Buslaev, V. S. 2 2000 Kronig-Penney electron in a homogeneous electric field. Zbl 0935.34072 Buslaev, V. S. 6 1999 Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011 3 1999 On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. Zbl 1026.01503 Buslaev, V.; Solomyak, M.; Yafaev, D. 2 1999 Imagrinary parts of Stark-Wannier resonances. Zbl 1001.34075 Buslaev, Vladimir; Grigis, Alain 10 1998 Singularities of the Green function of the nonstationary Schrödinger equation. Zbl 0920.35008 Buslaeva, M. V.; Buslaev, V. S. 1 1998 The Harper equation: Monodromization without quasiclassics. Zbl 0866.34071 Buslaev, V. S.; Fedotov, A. A. 5 1996 Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. Zbl 0956.35114 Budylin, A. M.; Buslaev, V. S. 4 1996 The Harper equation: Monodromization without quasiclassics. Zbl 0849.34066 Buslaev, V. S.; Fedotov, A. A. 2 1996 Spectral properties of the monodromy matrix for Harper equation. Zbl 0874.39006 Buslaev, V.; Fedotov, A. 2 1996 Semiclassical integral equations on the semiaxis. Zbl 0869.45003 Budylin, A. M.; Buslaev, V. S. 1 1996 On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108 Buslaev, V. S.; Perel’man, G. S. 97 1995 Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. Zbl 0862.35148 Budylin, A. M.; Buslaev, V. S. 19 1995 Bloch solutions for difference equations. Zbl 0847.39002 Buslaev, V. S.; Fedotov, A. A. 5 1995 Bloch solutions for difference equations. Zbl 0859.39001 Buslaev, V. S.; Fedotov, A. A. 4 1995 The complex WKB method for Harper’s equation. I. Zbl 0839.34066 Buslaev, V. S.; Fedotov, A. A. 10 1994 Monodromization and the Harper equation. Zbl 0880.34082 Buslaev, V.; Fedotov, A. 9 1994 Complex WKB method for Harper’s equation. Zbl 0821.34062 Buslaev, V. S.; Fedotov, A. A. 7 1994 The functional structure of the monodromy matrix for Harper’s equation. Zbl 0816.34058 Buslaev, Vladimir; Fedotov, Alexander 3 1994 Equivalence of unstable anharmonic oscillators and double wells. Zbl 0817.47077 Buslaev, Vladimir; Grecchi, Vincenzo 70 1993 Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001 Budylin, A. M.; Buslaev, V. S. 4 1993 The trace formula for the nonlinear Klein-Gordon equation. Zbl 0807.35132 Buslaev, V. S.; Rybakina, E. A. 2 1993 Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112 Buslaev, V. S.; Perel’man, G. S. 61 1992 On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111 Buslaev, V. S.; Perelman, Galina 22 1992 Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146 Buslaev, V. S.; Perel’man, G. S. 14 1992 Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197 Buslaev, V. S.; Perel’man, G. S. 1 1992 Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003 Budylin, A. M.; Buslaev, V. S. 7 1991 Quasiclassical integral equations. Zbl 0769.45009 Budylin, A. M.; Buslaev, V. S. 2 1991 On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials. Zbl 0739.35053 Buslaev, V. 1 1991 Spectral properties of adiabatically perturbed differential operators with periodic coefficients. Zbl 0726.34068 Buslaev, V. S. 1 1991 Optical and acoustic Fourier-processors. Zbl 0843.43012 Buslaev, V. S. 1 1991 A Bloch electron in an external field. Zbl 0726.34070 Buslaev, V. S.; Dmitrieva, L. A. 7 1990 Spectral properties of the operators \(H\psi =-\psi_{xx}+p(x)\psi +v(\epsilon x)\psi\), p is periodic. Zbl 0723.47042 Buslaev, V. S. 2 1990 Bloch electron in an external field. Zbl 0714.34128 Buslaev, V. S.; Dmitrieva, L. A. 10 1989 Bloch electrons in an external electric field. Zbl 0725.34097 Buslaev, V. S.; Dmitrieva, L. A. 3 1989 Semiclassical approximation for equations with periodic coefficients. Zbl 0698.35130 Buslaev, V. S. 28 1987 Adiabatic perturbation of a periodic potential. II. Zbl 0643.34068 Buslaev, V. S.; Dmitrieva, L. A. 9 1987 Spectral identities for a system of many quantum particles. Zbl 1268.81072 Buslaev, V. S.; Chernenko, V. G. 1 1987 On the diffraction character of scattering in a quantum system of three one-dimensional particles. Zbl 0616.47008 Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 1 1987 Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100 Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A. 13 1986 Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times. Zbl 0597.35102 Buslaev, V. S.; Sukhanov, V. V. 6 1986 Asymptotic behavior of solutions for t\(\to \infty\) of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with a potential u satisfying the Korteweg-de Vries equation. Zbl 0606.35078 Buslaev, V. S.; Sukhanov, V. V. 2 1986 On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. Zbl 0635.47006 Budylin, A. M.; Buslaev, V. S. 1 1986 Trace formula in Hamiltonian mechanics. Zbl 0561.70016 Buslaev, V. S.; Rybakina, E. A. 1 1985 On the asymptotic behavior as t\(\to \infty\) of the solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with potential u satisfying the Korteweg-de Vries equation. I. Zbl 0582.35008 Buslaev, V. S.; Sukhanov, V. V. 1 1985 On adiabatic perturbation of a periodic potential. Zbl 0534.34064 Buslaev, V. S. 13 1984 Adiabatic perturbation of a periodic potential. Zbl 0557.34053 Buslaev, V. S. 7 1984 Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization. Zbl 0531.76089 Buldyrev, V. S.; Buslaev, V. S. 2 1984 On the asymptotic behaviour of solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with the potential u satisfying the Korteweg-de Vries equations, as t\(\to \infty\). II. Zbl 0559.35074 Buslaev, V. S.; Sukhanov, V. V. 2 1984 Trace formula in Lagrangian mechanics. Zbl 0598.70023 Buslaev, V. S.; Nalimova, E. A. 2 1984 Regularization of many-particle scattering. Zbl 0617.47006 Buslaev, V. S. 1 1984 Trace formula in general Hamiltonian mechanics. Zbl 0598.70018 Buslaev, V. S.; Nalimova, E. A. 1 1984 Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects. Zbl 0515.35069 Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 3 1983 On the asymptotic behaviour for \(t\to \infty\) of the solutions of the equation \(\psi_{xx} + u(x,t) \psi + (\lambda/4) \psi = 0\) with a potential \(u\) satisfying the Korteweg-deVries equation. I. Zbl 0513.35011 Buslaev, V. S.; Sukhanov, V. V. 5 1982 On the asymptotic behaviour of solutions of the Korteweg-deVries equation for long times. Zbl 0514.35077 Buslaev, V. S.; Sukhanov, V. V. 4 1982 The trace formula in Hamiltonian mechanics. Zbl 0537.70016 Buslaev, V. S.; Rybakina, E. A. 2 1982 Asymptotic methods in problems of sound propagation in ocean wave guides and their numerical realization. Zbl 0482.76078 Buldyrev, V. S.; Buslaev, V. S. 4 1981 The structure of an acoustic field near the surface of deep sea. Zbl 0482.76077 Buslaev, V. S. 2 1981 Variational calculus. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie). Zbl 0489.49001 Buslaev, V. S. 4 1980 On the diffraction characteristics of the scattering problem for a quantum system of three one-dimensional particles. Zbl 0494.47010 Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 7 1979 Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles is free of diffractional effects. Zbl 0413.35058 Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. 6 1979 The unitary regularization for a threeparticle scattering. Zbl 0375.47005 Buslaev, V. S.; Vakulenko, A. F. 1 1977 On the asymptotic behavior of the spectral characteristics of exterior problems for the Schrödinger operator. Zbl 0324.35006 Buslaev, V. S. 4 1976 Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation. Zbl 0296.35023 Buslaev, V. S.; Skriganov, M. M. 7 1975 Über das asymptotische Verhalten der spektralen Charakteristiken der Außenprobleme für den Schrödingeroperator. Zbl 0311.35010 Buslaev, V. S. 5 1975 Lokales spektrales asymptotisches Verhalten der Greenschen Funktion inäußeren Aufgaben für den Schrödinger-Operator. Zbl 0306.47005 Buslaev, V. S. 3 1975 Koordinatenasymptotik der Lösung des Streuungsproblems für die Schrödingergleichung. Zbl 0291.35020 Buslaev, V. S.; Skriganov, M. M. 2 1974 On the continual integral for the parabolic equation of second order. Zbl 0226.35042 Alimov, A. L.; Buslaev, V. S. 2 1972 Quantization and the WKB method. Zbl 0244.35034 Buslaev, V. S. 2 1972 Über die Spurformeln in mehrkanaligen Aufgaben. Zbl 0339.47014 Buslaev, V. S. 1 1972 Scattered plane waves, spectral asymptotics and trace formulas in exterior problems. Zbl 0224.47023 Buslaev, V. S. 11 1971 Potential theory and geometrical optics. Zbl 0284.35017 Buslaev, V. S. 7 1971 Quantization and the WKB method. Zbl 0234.35011 Buslaev, V. S. 5 1970 About generalized wave operators. Zbl 0245.47007 Buslaev, V. S. 1 1970 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 514 Authors 32 Znojil, Miloslav 27 Komech, Alexander Ilich 26 Cuccagna, Scipio 25 Kopylova, Elena A. 16 Buslaev, Vladimir Savel’evich 13 Budylin, A. M. 13 Maeda, Masaya 11 Levin, S. B. 9 Comech, Andrew 9 Dobrokhotov, Sergei Yurievich 9 Its, Alexander Rudolfovich 9 Teschl, Gerald 9 Yafaev, Dimitri R. 8 Babich, Vasiliĭ Mikhaĭlovich 8 Grecchi, Vincenzo 8 Martel, Yvan 7 Fedotov, Alexander 7 Shafarevich, Andreĭ Igorevich 7 Sigal, Israel Michael 6 Cannata, Francesco 6 Deift, Percy A. 6 Dimassi, Mouez 6 Egorova, Iryna 6 Mustafa, Omar 6 Schlag, Wilhelm 6 Soffer, Avraham 6 Sukhanov, Vladimir V. 5 Bothner, Thomas 5 Gang, Zhou 5 Korotyaev, Evgeny L. 5 Kowalczyk, Michał 5 Lyalinov, Mikhail Anatolievich 5 Mazharimousavi, S. Habib 5 Spohn, Herbert 4 Biswas, Anjan 4 Borisov, Denis Ivanovich 4 Boussaid, Nabile 4 Caliceti, Emanuela 4 Faddeev, Lyudvig Dmitrievich 4 Gesztesy, Fritz 4 Imaikin, Valery 4 Klopp, Frédéric 4 Lévai, Géza 4 Maioli, Marco 4 Muñoz, Claudio 4 Noja, Diego 4 Pushnitski, Alexander B. 4 Takhtajan, Leon Armenovich 3 Adami, Riccardo 3 Allilueva, Anna I. 3 Bagchi, Bijan Kumar 3 Baibulov, I. V. 3 Bambusi, Dario 3 Cacciapuoti, Claudio 3 Charlier, Christophe 3 Dejak, Steven I. 3 Fröhlich, Jürg Martin 3 Grigis, Alain 3 Grigor’eva, N. S. 3 Gustafson, Stephen J. 3 Helffer, Bernard 3 Jakubský, Vít 3 Kostenko, Aleksey S. 3 Krasovsky, Igor V. 3 Lenells, Jonatan 3 Mashkin, Timur 3 Nazaikinskii, Vladimir E. 3 Ortoleva, Cecilia 3 Pelinovsky, Dmitry Efimovich 3 Perelman, Galina 3 Phan, Tuoc Van 3 Philippov, Vjacheslav Borisovish 3 Purice, Radu 3 Sacchetti, Andrea 3 Sergeev, Sergeĭ Alekseevich 3 Shchetka, Ekaterina 3 Smyshlyaev, Valery P. 3 Tarulli, Mirko 3 Tsai, Tai-Peng 3 Vaĭnberg, Boris Rufimovich 3 Weinstein, Michael I. 3 Zhou, Xin 3 Zinn-Justin, Jean 2 Ablowitz, Mark Jay 2 Andrianov, Alexander A. 2 Banerjee, Abhijit 2 Beceanu, Marius 2 Benci, Vieri 2 Bender, Carl M. 2 Bentosela, François 2 Birman, Mikhail Shlëmovich 2 Borisov, N. V. 2 Boutet de Monvel, Anne Marie 2 Briet, Philippe 2 Cornean, Horia D. 2 Damanik, David 2 Deng, Qingquan 2 Dmitrieva, L. A. 2 Duan, Jinqiao 2 Dukhnovskiĭ, Sergeĭ Anatol’evich ...and 414 more Authors all top 5 Cited in 134 Serials 40 Communications in Mathematical Physics 28 Journal of Mathematical Sciences (New York) 26 Journal of Mathematical Physics 25 Journal of Soviet Mathematics 23 St. Petersburg Mathematical Journal 21 Physics Letters. A 17 Journal of Differential Equations 13 Journal of Mathematical Analysis and Applications 12 International Journal of Theoretical Physics 12 Russian Journal of Mathematical Physics 11 Mathematical Notes 11 Theoretical and Mathematical Physics 11 Functional Analysis and its Applications 11 Journal of Functional Analysis 9 Communications in Partial Differential Equations 8 Nonlinearity 8 Physica D 7 Journal d’Analyse Mathématique 7 Letters in Mathematical Physics 7 Annales de l’Institut Henri Poincaré. 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