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Buslaev, Vladimir Savel’evich

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Author ID: buslaev.vladimir-s Recent zbMATH articles by "Buslaev, Vladimir Savel'evich"
Published as: Buslaev, V.; Buslaev, V. S.; Buslaev, Vladimir; Buslaev, Vladimir S.
Homepage: http://math.nw.ru/site/en/people/Vladimir.Buslaev/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 126 Publications since 1960, including 2 Books
Biographic References: 4 Publications
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

Publications by Year

Citations contained in zbMATH

105 Publications have been cited 669 times in 395 Documents Cited by Year
On asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1028.35139
Buslaev, Vladimir S.; Sulem, Catherine
88
2003
On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108
Buslaev, V. S.; Perel’man, G. S.
73
1995
Equivalence of unstable anharmonic oscillators and double wells. Zbl 0817.47077
Buslaev, Vladimir; Grecchi, Vincenzo
42
1993
Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112
Buslaev, V. S.; Perel’man, G. S.
39
1992
Formulas for traces for a singular Sturm-Liouville differential operator. Zbl 0129.06501
Buslaev, V. S.; Faddeev, L. D.
35
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.
21
2008
On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111
Buslaev, V. S.; Perelman, Galina
17
1992
Semiclassical approximation for equations with periodic coefficients. Zbl 0698.35130
Buslaev, V. S.
15
1987
Über eine umgekehrte Dispersionsaufgabe für die eindimensionale Schrödingergleichung auf der ganzen Achse. Zbl 0243.34013
Buslaev, V.; Fomin, V.
14
1962
On the difference equations with periodic coefficients. Zbl 1012.39008
Buslaev, V.; Fedotov, A.
13
2001
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.
13
1995
On adiabatic perturbation of a periodic potential. Zbl 0534.34064
Buslaev, V. S.
12
1984
Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146
Buslaev, V. S.; Perel’man, G. S.
11
1992
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.
11
1986
Scattered plane waves, spectral asymptotics and trace formulas in exterior problems. Zbl 0224.47023
Buslaev, V. S.
10
1971
Imagrinary parts of Stark-Wannier resonances. Zbl 1001.34075
Buslaev, Vladimir; Grigis, Alain
8
1998
Bloch electron in an external field. Zbl 0714.34128
Buslaev, V. S.; Dmitrieva, L. A.
8
1989
Adiabatic perturbation of a periodic potential. II. Zbl 0643.34068
Buslaev, V. S.; Dmitrieva, L. A.
8
1987
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.
7
2010
Turning points for adiabatically perturbed periodic equations. Zbl 0987.35013
Buslaev, Vladimir; Grigis, Alain
7
2001
Simulation of instability of bright solitons for NLS with saturating nonlinearity. Zbl 0972.78019
Buslaev, V. S.; Grikurov, V. E.
7
2001
Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003
Budylin, A. M.; Buslaev, V. S.
7
1991
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
Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times. Zbl 0597.35102
Buslaev, V. S.; Sukhanov, V. V.
6
1986
Potential theory and geometrical optics. Zbl 0284.35017
Buslaev, V. S.
6
1971
Spurformeln und einige asymptotische Abschätzungen des Kerns der Resolvente für den Schrödingeroperator im dreidimensionalen Raum. Zbl 0203.13403
Buslaev, V. S.
6
1966
Asymptotic behavior of the eigenfunctions of the many-particle Schrödinger operator. I: One-dimensional particles. Zbl 1160.81476
Buslaev, V. S.; Levin, S. B.
5
2008
A class of the multi-interval eigenvalue distributions of matrix models and related structures. Zbl 1041.81024
Buslaev, V.; Pastur, L.
5
2002
Complex WKB method for Harper’s equation. Zbl 0821.34062
Buslaev, V. S.; Fedotov, A. A.
5
1994
The complex WKB method for Harper’s equation. I. Zbl 0839.34066
Buslaev, V. S.; Fedotov, A. A.
5
1994
A Bloch electron in an external field. Zbl 0726.34070
Buslaev, V. S.; Dmitrieva, L. A.
5
1990
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
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.
5
1979
Über das asymptotische Verhalten der spektralen Charakteristiken der Außenprobleme für den Schrödingeroperator. Zbl 0311.35010
Buslaev, V. S.
5
1975
Quantization and the WKB method. Zbl 0234.35011
Buslaev, V. S.
5
1970
The generating integral and the canonical Maslov operator in the WKB method. Zbl 0204.44805
Buslaev, V. S.
5
1969
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.
4
2012
Kronig-Penney electron in a homogeneous electric field. Zbl 0935.34072
Buslaev, V. S.
4
1999
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
Bloch solutions for difference equations. Zbl 0847.39002
Buslaev, V. S.; Fedotov, A. A.
4
1995
Monodromization and the Harper equation. Zbl 0880.34082
Buslaev, V.; Fedotov, A.
4
1994
Bloch electrons in an external electric field. Zbl 0725.34097
Buslaev, V. S.; Dmitrieva, L. A.
4
1989
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
Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II: Charged one-dimensional particles. Zbl 1219.81235
Buslaev, V. S.; Levin, S. B.
3
2011
The scattering matrix and associated formulas in Hamiltonian mechanics. Zbl 1218.37072
Buslaev, Vladimir; Pushnitski, Alexander
3
2010
Asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1017.35104
Buslaev, Vladimir S.; Sulem, Catherine
3
2002
The functional structure of the monodromy matrix for Harper’s equation. Zbl 0816.34058
Buslaev, Vladimir; Fedotov, Alexander
3
1994
Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001
Budylin, A. M.; Buslaev, V. S.
3
1993
Adiabatic perturbation of a periodic potential. Zbl 0557.34053
Buslaev, V. S.
3
1984
Variational calculus. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie). Zbl 0489.49001
Buslaev, V. S.
3
1980
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
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
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
The Harper equation: Monodromization without quasiclassics. Zbl 0849.34066
Buslaev, V. S.; Fedotov, A. A.
2
1996
Quasiclassical integral equations. Zbl 0769.45009
Budylin, A. M.; Buslaev, V. S.
2
1991
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
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 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.
2
1985
Trace formula in Lagrangian mechanics. Zbl 0598.70023
Buslaev, V. S.; Nalimova, E. A.
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
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.
2
1983
The trace formula in Hamiltonian mechanics. Zbl 0537.70016
Buslaev, V. S.; Rybakina, E. A.
2
1982
The structure of an acoustic field near the surface of deep sea. Zbl 0482.76077
Buslaev, V. S.
2
1981
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.
2
1979
On the asymptotic behavior of the spectral characteristics of exterior problems for the Schrödinger operator. Zbl 0324.35006
Buslaev, V. S.
2
1976
Lokales spektrales asymptotisches Verhalten der Greenschen Funktion inäußeren Aufgaben für den Schrödinger-Operator. Zbl 0306.47005
Buslaev, V. S.
2
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
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
On the short-wave asymptotic limit in the problem of diffraction by convex bodies. Zbl 0124.44801
Buslaev, V. S.
2
1962
Trace formulas for Schrödinger’s operator in three-space. Zbl 0118.09302
Buslaev, V. S.
2
1962
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.
1
2014
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
Linear adiabatic dynamics generated by operators with continuous spectrum. I. Zbl 1152.35336
Buslaev, Vladimir S.; Sulem, Catherine
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
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
Asymptotic comparison of differential equations. Zbl 1055.34104
Buslaev, V. S.
1
2003
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
Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011
Buslaev, V. (ed.); Solomyak, M. (ed.); Yafaev, D. (ed.)
1
1999
Singularities of the Green function of the nonstationary Schrödinger equation. Zbl 0920.35008
Buslaeva, M. V.; Buslaev, V. S.
1
1998
Spectral properties of the monodromy matrix for Harper equation. Zbl 0874.39006
Buslaev, V.; Fedotov, A.
1
1996
Semiclassical integral equations on the semiaxis. Zbl 0869.45003
Budylin, A. M.; Buslaev, V. S.
1
1996
The Harper equation: Monodromization without quasiclassics. Zbl 0866.34071
Buslaev, V. S.; Fedotov, A. A.
1
1996
Bloch solutions for difference equations. Zbl 0859.39001
Buslaev, V. S.; Fedotov, A. A.
1
1995
The trace formula for the nonlinear Klein-Gordon equation. Zbl 0807.35132
Buslaev, V. S.; Rybakina, E. A.
1
1993
Nonlinear scattering: The states which are close to a soliton. Zbl 0799.35197
Buslaev, V. S.; Perel’man, G. S.
1
1992
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
On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials. Zbl 0739.35053
Buslaev, V.
1
1991
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
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
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
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.
1
1984
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.
1
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.
4
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.
3
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.
7
2010
The scattering matrix and associated formulas in Hamiltonian mechanics. Zbl 1218.37072
Buslaev, Vladimir; Pushnitski, Alexander
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.
21
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.
5
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
Linear adiabatic dynamics generated by operators with continuous spectrum. I. Zbl 1152.35336
Buslaev, Vladimir S.; Sulem, Catherine
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
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
88
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
3
2002
On the difference equations with periodic coefficients. Zbl 1012.39008
Buslaev, V.; Fedotov, A.
13
2001
Turning points for adiabatically perturbed periodic equations. Zbl 0987.35013
Buslaev, Vladimir; Grigis, Alain
7
2001
Simulation of instability of bright solitons for NLS with saturating nonlinearity. Zbl 0972.78019
Buslaev, V. S.; Grikurov, V. E.
7
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
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
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
Kronig-Penney electron in a homogeneous electric field. Zbl 0935.34072
Buslaev, V. S.
4
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
Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011
Buslaev, V. (ed.); Solomyak, M. (ed.); Yafaev, D. (ed.)
1
1999
Imagrinary parts of Stark-Wannier resonances. Zbl 1001.34075
Buslaev, Vladimir; Grigis, Alain
8
1998
Singularities of the Green function of the nonstationary Schrödinger equation. Zbl 0920.35008
Buslaeva, M. V.; Buslaev, V. S.
1
1998
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.
1
1996
Semiclassical integral equations on the semiaxis. Zbl 0869.45003
Budylin, A. M.; Buslaev, V. S.
1
1996
The Harper equation: Monodromization without quasiclassics. Zbl 0866.34071
Buslaev, V. S.; Fedotov, A. A.
1
1996
On the stability of solitary waves for nonlinear Schrödinger equations. Zbl 0841.35108
Buslaev, V. S.; Perel’man, G. S.
73
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.
13
1995
Bloch solutions for difference equations. Zbl 0847.39002
Buslaev, V. S.; Fedotov, A. A.
4
1995
Bloch solutions for difference equations. Zbl 0859.39001
Buslaev, V. S.; Fedotov, A. A.
1
1995
Complex WKB method for Harper’s equation. Zbl 0821.34062
Buslaev, V. S.; Fedotov, A. A.
5
1994
The complex WKB method for Harper’s equation. I. Zbl 0839.34066
Buslaev, V. S.; Fedotov, A. A.
5
1994
Monodromization and the Harper equation. Zbl 0880.34082
Buslaev, V.; Fedotov, A.
4
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
42
1993
Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001
Budylin, A. M.; Buslaev, V. S.
3
1993
The trace formula for the nonlinear Klein-Gordon equation. Zbl 0807.35132
Buslaev, V. S.; Rybakina, E. A.
1
1993
Scattering for the nonlinear Schrödinger equation: States close to a soliton. Zbl 0853.35112
Buslaev, V. S.; Perel’man, G. S.
39
1992
On nonlinear scattering of states which are close to a soliton. Zbl 0795.35111
Buslaev, V. S.; Perelman, Galina
17
1992
Nonlinear scattering: The states which are close to a soliton. Zbl 0836.35146
Buslaev, V. S.; Perel’man, G. S.
11
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
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
On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials. Zbl 0739.35053
Buslaev, V.
1
1991
A Bloch electron in an external field. Zbl 0726.34070
Buslaev, V. S.; Dmitrieva, L. A.
5
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.
8
1989
Bloch electrons in an external electric field. Zbl 0725.34097
Buslaev, V. S.; Dmitrieva, L. A.
4
1989
Semiclassical approximation for equations with periodic coefficients. Zbl 0698.35130
Buslaev, V. S.
15
1987
Adiabatic perturbation of a periodic potential. II. Zbl 0643.34068
Buslaev, V. S.; Dmitrieva, L. A.
8
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.
11
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
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.
2
1985
Trace formula in Hamiltonian mechanics. Zbl 0561.70016
Buslaev, V. S.; Rybakina, E. A.
1
1985
On adiabatic perturbation of a periodic potential. Zbl 0534.34064
Buslaev, V. S.
12
1984
Adiabatic perturbation of a periodic potential. Zbl 0557.34053
Buslaev, V. S.
3
1984
Trace formula in Lagrangian mechanics. Zbl 0598.70023
Buslaev, V. S.; Nalimova, E. A.
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
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
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.
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.
2
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.
3
1980
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.
5
1979
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.
2
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.
2
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.
2
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
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.
10
1971
Potential theory and geometrical optics. Zbl 0284.35017
Buslaev, V. S.
6
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
The generating integral and the canonical Maslov operator in the WKB method. Zbl 0204.44805
Buslaev, V. S.
5
1969
Trace equation for a three-particle system. Zbl 0197.26101
Buslaev, V. S.; Merkur’ev, S. P.
1
1969
Trace formula in the theory of geodesics. Zbl 0181.49601
Buslaev, V. S.
1
1968
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
...and 5 more Documents
all top 5

Cited by 409 Authors

19 Cuccagna, Scipio
18 Komech, Alexander Ilich
16 Buslaev, Vladimir Savel’evich
13 Znojil, Miloslav
11 Kopylova, Elena A.
11 Levin, S. B.
10 Budylin, A. M.
8 Babich, Vasiliĭ Mikhaĭlovich
8 Comech, Andrew
8 Grecchi, Vincenzo
8 Its, Alexander Rudolfovich
8 Teschl, Gerald
7 Komech, Aleksandr I.
7 Sigal, Israel Michael
6 Fedotov, Alexei A.
6 Fedotov, Andrey A.
6 Soffer, Avraham
6 Sukhanov, Vladimir V.
6 Yafaev, Dimitri R.
5 Bothner, Thomas
5 Deift, Percy A.
5 Dimassi, Mouez
5 Gang, Zhou
5 Kopylova, E. A.
5 Mazharimousavi, S. Habib
5 Mustafa, Omar
4 Dobrokhotov, Sergei Yurievich
4 Egorova, Iryna
4 Faddeev, Lyudvig Dmitrievich
4 Fedotov, Alexander
4 Kirr, Eduard
4 Klopp, Frédéric
4 Maeda, Masaya
4 Maioli, Marco
4 Martel, Yvan
4 Perelman, Galina
4 Pozharskiĭ, A. A.
4 Pushnitski, Alexander B.
4 Schlag, Wilhelm
4 Spohn, Herbert
3 Adami, Riccardo
3 Baibulov, I. V.
3 Bambusi, Dario
3 Biswas, Anjan
3 Boussaid, Nabile
3 Caliceti, Emanuela
3 Cannata, Francesco
3 Dejak, Steven I.
3 Fröhlich, Jürg Martin
3 Grigis, Alain
3 Grigor’eva, N. S.
3 Gustafson, Stephen J.
3 Imaikin, Valery
3 Jakubský, Vít
3 Korotyaev, Evgeny L.
3 Krasovsky, Igor V.
3 Noja, Diego
3 Ortoleva, Cecilia
3 Phan, Tuoc Van
3 Sacchetti, Andrea
3 Shafarevich, Andreĭ Igorevich
3 Smyshlyaev, Valery P.
3 Takhtajan, Leon Armenovich
3 Tsai, Tai-Peng
3 Vaĭnberg, Boris Rufimovich
3 Zhou, Xin
2 Bagchi, Bijan Kumar
2 Banerjee, Abhijit
2 Beceanu, Marius
2 Benci, Vieri
2 Bentosela, François
2 Birman, Mikhail Shlëmovich
2 Borisov, N. V.
2 Briet, Philippe
2 Cacciapuoti, Claudio
2 Deng, Qingquan
2 Dmitrieva, L. A.
2 Egli, Daniel
2 Filippov, V. B.
2 Finco, Domenico
2 Gesztesy, Fritz
2 Geyer, Hendrik B.
2 Giachetti, Riccardo
2 Graham, Ivan G.
2 Green, William R.
2 Grushin, V. V.
2 Helffer, Bernard
2 Holmer, Justin
2 Jonsson, B. Lars G.
2 Kopylova, Elena
2 Kostenko, Aleksey S.
2 Kowalczyk, Michał
2 Krieger, Joachim
2 Krueger, August J.
2 Kuperin, Yuri A.
2 Lévai, Géza
2 Lyalinov, Mikhail Anatolievich
2 Martinez, André
2 Marzuola, Jeremy L.
2 Maslov, Viktor Pavlovich
...and 309 more Authors
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Cited in 101 Serials

35 Communications in Mathematical Physics
25 Journal of Soviet Mathematics
22 Journal of Mathematical Sciences (New York)
21 Journal of Mathematical Physics
18 St. Petersburg Mathematical Journal
15 Journal of Differential Equations
12 International Journal of Theoretical Physics
12 Journal of Mathematical Analysis and Applications
10 Functional Analysis and its Applications
9 Theoretical and Mathematical Physics
9 Journal of Functional Analysis
9 Communications in Partial Differential Equations
7 Letters in Mathematical Physics
7 Mathematical Notes
6 Journal d’Analyse Mathématique
6 Transactions of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Russian Mathematical Surveys
5 Reviews in Mathematical Physics
5 Advances in Mathematics
5 SIAM Journal on Mathematical Analysis
5 Russian Journal of Mathematical Physics
5 Discrete and Continuous Dynamical Systems
4 Modern Physics Letters A
4 Archive for Rational Mechanics and Analysis
4 Nonlinearity
4 Proceedings of the American Mathematical Society
4 Czechoslovak Journal of Physics
3 Communications on Pure and Applied Mathematics
3 Journal of Engineering Mathematics
3 Physics Letters. A
3 Wave Motion
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Applied Mathematics and Computation
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Physica D
3 Bulletin of the American Mathematical Society. New Series
3 Mathematical Physics, Analysis and Geometry
3 Journal of Spectral Theory
2 International Journal of Modern Physics A
2 Journal of Statistical Physics
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 Integral Equations and Operator Theory
2 Inventiones Mathematicae
2 Journal of Computational and Applied Mathematics
2 Studies in Applied Mathematics
2 Journal of the American Mathematical Society
2 International Journal of Modern Physics D
2 Journal of Mathematical Chemistry
2 Annales Henri Poincaré
2 Advances in Mathematical Physics
2 Bulletin of Mathematical Sciences
1 Applicable Analysis
1 Astrophysics and Space Science
1 Computers & Mathematics with Applications
1 Journal of Computational Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Reports
1 Reports on Mathematical Physics
1 Ukrainian Mathematical Journal
1 Fortschritte der Physik
1 Illinois Journal of Mathematics
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Siberian Mathematical Journal
1 Advances in Applied Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Acta Mathematica Sinica. New Series
1 Journal of Nonlinear Science
1 Russian Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Russian Physics Journal
1 Journal of High Energy Physics
1 Physical Review Letters
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Proceedings of the Steklov Institute of Mathematics
1 Communications in Mathematical Analysis
1 Journal of Physics A: Mathematical and Theoretical
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Symmetry
1 Nonlinear Analysis. Theory, Methods & Applications
...and 1 more Serials
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Cited in 40 Fields

246 Partial differential equations (35-XX)
145 Quantum theory (81-XX)
68 Dynamical systems and ergodic theory (37-XX)
64 Operator theory (47-XX)
55 Ordinary differential equations (34-XX)
19 Statistical mechanics, structure of matter (82-XX)
17 Mechanics of particles and systems (70-XX)
14 Difference and functional equations (39-XX)
14 Fluid mechanics (76-XX)
14 Optics, electromagnetic theory (78-XX)
12 Global analysis, analysis on manifolds (58-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Numerical analysis (65-XX)
5 Special functions (33-XX)
5 Probability theory and stochastic processes (60-XX)
5 Relativity and gravitational theory (83-XX)
4 History and biography (01-XX)
4 Functions of a complex variable (30-XX)
4 Integral equations (45-XX)
4 Functional analysis (46-XX)
3 Combinatorics (05-XX)
3 Nonassociative rings and algebras (17-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Algebraic geometry (14-XX)
2 Measure and integration (28-XX)
2 Approximations and expansions (41-XX)
2 Differential geometry (53-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Mechanics of deformable solids (74-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

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