Inverse scattering theory for wave equations in stratified media
type: Item
instance of: scholarly article
title: Inverse scattering theory for wave equations in stratified media
zbMATH Open document ID: 0878.35084
author: H. Isozaki
published in: Journal of Differential Equations
publication date: 1997-12-03T00:00:00Z
review text: It is proved that the scattering matrix at a fixed positive energy determines uniquely the wave velocity which is assumed to depend asymptotically on one variable (the vertical coordinate). The velocity approaches its limit at infinity at an exponential rate. This limit is a piecewise constant velocity which depends on the vertical coordinate only and has just one jump (that is, it is a step function).
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 1054114
zbMATH Keywords: scattering matrix
zbMATH Keywords: wave velocity
reviewed by: A. G. Ramm
MaRDI profile type: Publication
OpenAlex ID: W2012965582
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DOI: 10.1006/JDEQ.1997.3271
description: scientific article; zbMATH DE number 1054114