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.
Determination of thin elastic inclusions from boundary measurements. Lipschitz stability estimates / Beretta, Elena; E. FRANCINI AND S., Vessella. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 40:(2008), pp. 984-1002. [10.1137/070698397]
Determination of thin elastic inclusions from boundary measurements. Lipschitz stability estimates.
BERETTA, Elena;
2008
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.File allegati a questo prodotto
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