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Identifiability and stability results of one emerging crack in heterogeneous media by one boundary measurements

✍ Scribed by Serge Nicaise; Ouahiba Zaïr

Book ID: 102509989
Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 165 KB
Volume: 24
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.246

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✦ Synopsis

Abstract

We consider the inverse problem of determining one emerging crack in a plane heterogeneous medium. We show that one measurement on a part of the boundary with appropriate flux uniquely determines such a crack. We further establish a local Lipschitz continuity result. At the end, we give an approximation result for the nonstationary heat equation. Copyright © 2001 John Wiley & Sons, Ltd.

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