The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity
type: Item
instance of: scholarly article
title: The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity
zbMATH Open document ID: 0621.35076
DOI: 10.1007/BF01100135
published in: Journal of Soviet Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 148, 13-29 (Russian) (1985; Zbl 0606.35063).
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 4006847
zbMATH Keywords: whispering gallery waves
zbMATH Keywords: boundary flex point
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: smoothness
zbMATH Keywords: formal asymptotics
zbMATH Keywords: inflection point
zbMATH Keywords: shadow zone
author: Vasilii M. Babich
author: Valery P. Smyshlyaev
MaRDI profile type: Publication
cites work: Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary
cites work: Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I: Asymptotics in the shadow zone
cites work: Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as t\(\to \infty\)
cites work: Direction diagram of radiation in the problem of an inflection point of the boundary
cites work: Q5653193
cites work: Q5526485
description: scientific article; zbMATH DE number 4006847