Scattering theory for the elastic wave equation
type: Item
instance of: scholarly article
title: Scattering theory for the elastic wave equation
zbMATH Open document ID: 0714.35066
author: Yoshihiro Shibata
author: Hideo Soga
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1989-01-01T00:00:00Z
review text: The authors develop a scattering theory for a time dependent (hyperbolic) elastic wave equation in three or more space dimensions subject to Dirichlet or Neumann boundary conditions. The formulation and proofs extend earlier results of other authors for the scalar case.
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 4175582
zbMATH Keywords: skew selfadjointness
zbMATH Keywords: elastic wave equation
zbMATH Keywords: Dirichlet
zbMATH Keywords: Neumann boundary conditions
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195172509
OpenAlex ID: W2082143379
cites work: Q4053162
cites work: On the boundary-value problems of the theory of elasticity and Korn's inequality
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Q5579836
cites work: Q5645831
cites work: Decay at infinity of solutions to higher order partial differential equations: removal of the curvature assumption
cites work: Q3335096
cites work: Q4097616
cites work: Singularities of the scattering kernel for convex obstacles
cites work: Exponential energy decay of solutions of elastic wave equations with the Dirichlet condition.
DOI: 10.2977/PRIMS/1195172509
description: scientific article; zbMATH DE number 4175582