On the boundary integral-equations for the crack opening displacement of flat cracks
type: Item
instance of: scholarly article
title: On the boundary integral-equations for the crack opening displacement of flat cracks
zbMATH Open document ID: 0753.45005
DOI: 10.1007/BF01200328
author: T. Ha-Duong
published in: Integral Equations and Operator Theory
publication date: 1992-09-27T00:00:00Z
review text: The author considers the first kind boundary integral equations \(Du=f\) in a bounded smooth domain in the plane, where \(D\) is the hypersingular operator associated with the Helmholtz equation and the Lamé system, respectively. Regarding \(D\) is a pseudodifferential operator and computing its complete symbol, he proves a coerciveness estimate and a solvability result.
Mathematics Subject Classification ID: 45F15
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74J20
zbMATH DE Number: 63972
zbMATH Keywords: crack opening displacement
zbMATH Keywords: flat cracks
zbMATH Keywords: acoustic and elastic scattering
zbMATH Keywords: first kind boundary integral equations
zbMATH Keywords: hypersingular operator
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Lamé system
zbMATH Keywords: pseudodifferential operator
zbMATH Keywords: symbol
zbMATH Keywords: coerciveness estimate
zbMATH Keywords: solvability
reviewed by: Johannes Elschner
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01200328
OpenAlex ID: W1975183790
description: scientific article; zbMATH DE number 63972