Determination of a Linear Crack in an Elastic Body from Boundary Measurements—Lipschitz Stability

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2008 Italy English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 40, pages 984-1,002 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Elena Beretta 0001; Elisa Francini; Sergio Vessella;

doi: 10.1137/070698397

handle: 2158/325252

Determination of a Linear Crack in an Elastic Body from Boundary Measurements—Lipschitz Stability

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Abstract

We discuss the stability issue for the problem of determining a thin inclusion in a homogeneous isotropic elastic body from boundary measurements. This problem is severely ill-posed, but in this paper we prove that by restricting ourselves to the class of thin neighborhoods of line segments, a Lipschitz stability estimate holds.

Country

Italy

Related Organizations

University of Florence
Italy

Keywords

Elastic inclusion; Inverse Problems

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