On the inverse scattering problem for the acoustic equation
type: Item
instance of: scholarly article
title: On the inverse scattering problem for the acoustic equation
zbMATH Open document ID: 0674.35066
author: Masaru Ikehata
published in: Journal of the Mathematical Society of Japan
publication date: 1987-01-01T00:00:00Z
review text: According to \textit{P. Lax} and \textit{R. Phillips} [Scattering theory (1967; Zbl 0186.16301)], the scattering operator associated with the wave equation in an exterior domain \(\Omega\), subject to zero Dirichlet boundary conditions, uniquely determines the obstacle \({\mathbb{R}}^ n\setminus \Omega\). The author studies here the problem of determining, in case of a metric perturbation for the wave equation in \({\mathbb{R}}^ n\), the metric uniquely.
reviewed by: Jürgen Appell
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 4103612
zbMATH Keywords: scattering operator
zbMATH Keywords: exterior domain
zbMATH Keywords: zero Dirichlet boundary conditions
zbMATH Keywords: obstacle
zbMATH Keywords: perturbation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/03920171
OpenAlex ID: W2097868778
DOI: 10.2969/JMSJ/03920171
description: scientific article; zbMATH DE number 4103612