## Found 53 Documents (Results 1–53)

100
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### Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. (English. Russian original)Zbl 1307.35179

Funct. Anal. Appl. 48, No. 1, 1-14 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 1-18 (2014).
MSC:  35Q15 35Q55 35B40
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### A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. (English. Russian original)Zbl 1272.81185

Funct. Anal. Appl. 46, No. 2, 147-151 (2012); translation from Funkts. Anal. Prilozh. 46, No. 2, 83-88 (2012).
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### Homogenization in the scattering problem. (English. Russian original)Zbl 1271.35058

Funct. Anal. Appl. 44, No. 4, 243-252 (2010); translation from Funkts. Anal. Prilozh. 44, No. 4, 2-13 (2010).
MSC:  35P25
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### The scattering matrix and associated formulas in Hamiltonian mechanics. (English)Zbl 1218.37072

MSC:  37J05 37J10 34L25 35P25 81U20
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### Linear adiabatic dynamics generated by operators with continuous spectrum. I. (English)Zbl 1152.35336

MSC:  35G10 35B40 35B25

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### Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics. (English)Zbl 1142.35109

Birman, M. S. (ed.) et al., Nonlinear equations and spectral theory. Dedicated to the memory of Olga Aleksandrovna Ladyzhenskaya. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4209-6/hbk). Translations. Series 2. American Mathematical Society 220. Advances in the Mathematical Sciences 59, 45-81 (2007).
MSC:  35S05 82B10 35B40

### On asymptotic stability of solitary waves for nonlinear Schrödinger equations. (English)Zbl 1028.35139

MSC:  35Q55 37K40
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### Asymptotic stability of solitary waves for nonlinear Schrödinger equations. (English)Zbl 1017.35104

Bona, Jerry (ed.) et al., The legacy of the inverse scattering transform in applied mathematics. Proceedings of an AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 17-21, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 301, 163-181 (2002).
MSC:  35Q55 37K45 35B40

### The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. (English. Russian original)Zbl 0998.35050

St. Petersbg. Math. J. 12, No. 5, 761-789 (2001); translation from Algebra Anal. 12, No. 5, 64-105 (2001).
MSC:  35Q55 35B40 47G30

### Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. (English)Zbl 1136.35466

Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24–28, 2000. Basel: Birkhäuser (ISBN 3-7643-6219-7/hbk). Oper. Theory, Adv. Appl. 126, 41-51 (2001).
MSC:  35S05 45P05 82B10

MSC:  35B10
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### Simulation of instability of bright solitons for NLS with saturating nonlinearity. (English)Zbl 0972.78019

MSC:  78A60 35Q60
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### The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. (English)Zbl 0966.35121

Semenov-Tian-Shansky, Michael (ed.), L. D. Faddeev’s seminar on mathematical physics. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 201, 63-78 (2000).

### Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. (English)Zbl 0911.00011

Translations. Series 2. American Mathematical Society (AMS). Advances in the Mathematical Sciences. 189(41). Providence, RI: American Mathematical Society (AMS). viii, 285 p. (1999).

### Singularities of the Green function of the nonstationary Schrödinger equation. (English. Russian original)Zbl 0920.35008

Funct. Anal. Appl. 32, No. 2, 132-134 (1998); translation from Funkts. Anal. Prilozh. 32, No. 2, 80-83 (1998).
MSC:  35A20 81Q05
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### Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. (English. Russian original)Zbl 0956.35114

Dokl. Math. 53, No. 3, 441-444 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 4, 455-458 (1996).
MSC:  35Q53 37K15

### Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. (English. Russian original)Zbl 0862.35148

St. Petersbg. Math. J. 7, No. 6, 925-942 (1996); translation from Algebra Anal. 7, No. 6, 70-103 (1995).
MSC:  35S05 47G10

### On the stability of solitary waves for nonlinear Schrödinger equations. (English)Zbl 0841.35108

Uraltseva, N. N. (ed.), Nonlinear evolution equations. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 164 (22), 75-98 (1995).
MSC:  35Q55 35Q51

### The trace formula for the nonlinear Klein-Gordon equation. (English)Zbl 0807.35132

Birman, M. Sh. (ed.), Wave propagation. Scattering theory. Transl. from the Russian by Peter Zhevandrov. Transl. ed. by Simeon Ivanov. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 157, 191-213 (1993).
MSC:  35Q55 70H03

### Nonlinear scattering: The states which are close to a soliton. (English. Russian original)Zbl 0836.35146

J. Math. Sci., New York 77, No. 3, 3161-3169 (1995); translation from Zap. Nauchn. Semi. POMI 200, 38-50 (1992).
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### Scattering for the nonlinear Schrödinger equation: States close to a soliton. (English. Russian original)Zbl 0853.35112

St. Petersbg. Math. J. 4, No. 6, 1111-1142 (1993); translation from Algebra Anal. 4, No. 6, 63-102 (1992).
MSC:  35Q55 35P25 35B40

### On nonlinear scattering of states which are close to a soliton. (English)Zbl 0795.35111

Robert, D. (ed.), Méthodes semi-classiques, Volume 2. Colloque international (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 210, 49-63 (1992).
MSC:  35Q55 35P25 35B40
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### Nonlinear scattering: The states which are close to a soliton. (Russian. English summary)Zbl 0799.35197

Zap. Nauchn. Semin. POMI 200, 38-50, 70 (1992).
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### On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials. (English)Zbl 0739.35053

Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1990-1991, No.XXIII, 15 p. (1991).
MSC:  35P20 35Q55
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### Semiclassical approximation for equations with periodic coefficients. (English. Russian original)Zbl 0698.35130

Russ. Math. Surv. 42, No. 6, 97-125 (1987); translation from Usp. Mat. Nauk 42, No. 6, 77-98 (1987).
Reviewer: E.D.Belokolos
MSC:  35Q99 35G99 35B40
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### Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. (English)Zbl 0618.35100

Reviewer: J.Kostarcuk
MSC:  35Q99 35A30 35P25
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### 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. (Russian)Zbl 0606.35078

Reviewer: O.Dumbrajs

### Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times. (English)Zbl 0597.35102

MSC:  35Q99 35B40
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### Asymptotic behavior 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-de Vries equation. II. (English)Zbl 0582.35009

MSC:  35B40 35Q99 35J10
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### 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. (English)Zbl 0582.35008

MSC:  35B40 35Q99 34L99

### 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. (Russian. English summary)Zbl 0559.35074

MSC:  35Q99 35J10 35B40
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### On the asymptotic behaviour of solutions of the Korteweg-deVries equation for long times. (Russian)Zbl 0514.35077

MSC:  35Q99 35B40
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### 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. (Russian)Zbl 0513.35011

MSC:  35B40 35Q99 34L99

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### A unitary regularizing operator for three-particle scattering. (Russian)Zbl 0498.35067

Partial differential equations, Proc. All-Union Conf., Moscow 1976, dedic. I. G. Petrovskij, 1606, 56-58 (1978).

### Solutions of ”double soliton” type for the multidimensional equation d’Alembert operator(u)=F(u). (English)Zbl 0412.35061

MSC:  35L60 35C05
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### The unitary regularization for a threeparticle scattering. (Russian)Zbl 0375.47005

MSC:  47A40 35P25 47F05

### Solutions of the double soliton type for multidimensional equation $$\square u= F(u)$$. (Russian)Zbl 0346.35073

MSC:  35L60 35C05

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### Lokales spektrales asymptotisches Verhalten der Greenschen Funktion inäußeren Aufgaben für den Schrödinger-Operator. (Russian)Zbl 0306.47005

MSC:  47A40 35J10 35P25

### Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation. (English)Zbl 0296.35023

MSC:  35J10 35B40 35P25
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### Koordinatenasymptotik der Lösung des Streuungsproblems für die Schrödingergleichung. (Russian)Zbl 0291.35020

MSC:  35J10 35B40 35P25

MSC:  35K10

### Potential theory and geometrical optics. (English. Russian original)Zbl 0284.35017

J. Sov. Math. 2, 204-209 (1974); translation from Zapiski naucn. Sem. Leningrad. Otd. Mat. Inst. Steklov 22, 175-180 (1971).
MSC:  35J25 31A25
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### Scattered plane waves, spectral asymptotics and trace formulas in exterior problems. (English. Russian original)Zbl 0224.47023

Sov. Math., Dokl. 12, 591-595 (1971); translation from Dokl. Akad. Nauk SSSR 197, 999-1002 (1971).

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