A Davey-Stewartson-related scattering problem with nonsmall potential
type: Item
instance of: scholarly article
title: A Davey-Stewartson-related scattering problem with nonsmall potential
zbMATH Open document ID: 0830.35096
author: Derchyi Wu
published in: Journal of Differential Equations
publication date: 1996-01-28T00:00:00Z
review text: The author solves the scattering problem of a linear system in \(\mathbb{R}^2\), which has a direct application to the explicit solution of the initial value problem of the Davey-Stewartson system with nonsmall potential. The inverse scattering problem of the Davey-Stewartson related linear system with small potential was solved when the smallness of the potential assures the compactness of some integral operators. In this paper the compactness property is not consequence of the potential approximately constant, but is directly proved.
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 635877
zbMATH Keywords: scattering with non small potential
zbMATH Keywords: Davey-Stewartson scattering
reviewed by: Marco Codegone
MaRDI profile type: Publication
full work available at URL: jdeq.1994.1074
OpenAlex ID: W2018080447
DOI: 10.1006/JDEQ.1994.1074
Recommended article: The scattering problem for nonlocal potentials
Recommended article: Q3709165
Recommended article: Q4809196
Recommended article: Energy scattering for the generalized Davey-Stewartson equations
Recommended article: Q3752817
Recommended article: Scattering for a nonlinear Schrödinger equation with a potential
Recommended article: Q3305877
Recommended article: On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D
Recommended article: Scattering problem for a system of nonlinear Klein-Gordon equations related to Dirac-Klein-Gordon equations
Recommended article: On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems
description: scientific article; zbMATH DE number 635877