Two variational inequality problems for the wave equation in a half-space
type: Item
instance of: scholarly article
title: Two variational inequality problems for the wave equation in a half-space
zbMATH Open document ID: 0927.35072
author: Randolph G. jun. III Cooper
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-05-11T00:00:00Z
review text: A simplified formulation for the dynamic crack and punch problems of the theory of elasticity is considered. This leads to the study of a hyperbolic variational inequality for the wave equation. The Fourier-Laplace transform in time and the Fourier transform in space reduce the original problem to a variational inequality for a pseudodifferential equation which is treated by elliptic regularization. Regular properties of solutions are studied.
Mathematics Subject Classification ID: 35L85
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 1286160
zbMATH Keywords: dynamic crack and punch problems
zbMATH Keywords: Fourier-Laplace transform in time
zbMATH Keywords: Fourier transform in space
zbMATH Keywords: elliptic regularization
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6307
OpenAlex ID: W1976886142
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DOI: 10.1006/JMAA.1999.6307
description: scientific article; zbMATH DE number 1286160