Uniqueness and Stability in Determining a Rigid Inclusion in an Elastic Body
Author： Antonino Morassi;Edi Rosset
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470405526
P-ISBN(Paperback): 9780821843253
P-ISBN(Hardback): 9780821843253
Subject： O175 differential equations, integral equations
Keyword： Differential Equations
Language： ENG
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Uniqueness and Stability in Determining a Rigid Inclusion in an Elastic Body
Description
The authors consider the inverse problem of determining a rigid inclusion inside an isotropic elastic body $\Omega$, from a single measurement of traction and displacement taken on the boundary of $\Omega$. For this severely ill–posed problem they prove uniqueness and a conditional stability estimate of log–log type.