## Found 25 Documents (Results 1–25)

100
MathJax

### Formulation of scattering theory for the nonlinear Schrödinger equation with boundary conditions of the finite density type in a soliton-free sector. (English. Russian original)Zbl 0724.35082

J. Sov. Math. 54, No. 3, 900-905 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 169, 60-67 (1988).
MSC:  35P25 81U20 35Q55
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### Eikonal approximation for fast-decreasing potentials. I. (English. Russian original)Zbl 0695.35052

J. Sov. Math. 49, No. 5, 1225-1236 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 166-185 (1987).
MSC:  35J10 35B40 81U05
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### Ray-mode representation of the Green function in a three-dimensional homogeneous waveguide. (English. Russian original)Zbl 0796.76080

J. Sov. Math. 57, No. 3, 3170-3175 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 179, 163-172 (1989).
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### Asymptotic expansion of the spectral function of elliptic operators in $${\mathbb{R}}^ n$$. (English. Russian original)Zbl 0713.47046

J. Sov. Math. 47, No. 3, 2537-2546 (1989); translation from Tr. Semin. Im. I. G. Petrovskogo 12, 75-87 (1987).
MSC:  47F05 47A10 58J50
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### Asymptotic behavior of solutions of the nonlinear string equation for large times. (English. Russian original)Zbl 0692.35099

J. Sov. Math. 46, No. 5, 2126-2136 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 161, 122-138 (1987).
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### The symplectic group and invariants of quantum systems. (English)Zbl 0612.58042

MSC:  37N99 81Q05 22E70
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### 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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### Trace formula in Hamiltonian mechanics. (English)Zbl 0561.70016

MSC:  70H05 81Q05
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### Asymptotic solution of the Cauchy problem for equations with complex characteristics. (English)Zbl 0457.35096

MSC:  35S10 35C20
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### Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients. (English. Russian original)Zbl 0482.58028

J. Sov. Math. 15, 167-273 (1981); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 5-144 (1979).
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### Asymptotic behavior of the spectrum of differential equations. (English)Zbl 0424.35069

MSC:  35P20 47F05
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MSC:  76Q05
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### Estimation of the field in the shadow zone for diffraction of a spherical wave by a convex, infinitely differentiable surface. (English)Zbl 0401.35024

MSC:  35J05 35B99 35B45
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### Asymptotic properties of solutions to some three-dimensional wave problems. (English)Zbl 0401.35023

MSC:  35J05 35B40
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### Representation of the solution to a boundary-value problem as a continuum integral. (English)Zbl 0396.35053

MSC:  35K20 35C15
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### Ursell’s approach to obtaining an a priori estimate for the solution of the Neumann problem for the Helmholtz equation. (English)Zbl 0396.35005

MSC:  35B45 35J10 35A08
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### Uniform coordinates and spectral asymptotics for solutions of the scattering problem for the Schrödinger equation. (English)Zbl 0388.35017

MSC:  35J10 35P25 35B40
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### Rigorous justification of the shortwave asymptotic theory of diffraction in the shadow zone. (English)Zbl 0375.35017

MSC:  35J10 35B99
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### The strict justification of the short-wave approximation in the three- dimensional case. (English. Russian original)Zbl 0391.35025

J. Sov. Math. 6, 488-509 (1976); translation from Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst. Steklov 34, 23-51 (1973).
MSC:  35J25 35B45
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