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STABLE DETERMINATION OF A RIGID INCLUSION IN AN ANISOTROPIC ELASTIC PLATE

Morassi A.
•
ROSSET, EDI
•
Vessella S.
2012
  • journal article

Periodico
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Abstract
In this paper we consider the inverse problem of determining a rigid inclusion inside a thin plate by applying a couple field at the boundary and by measuring the induced transversal displacement and its normal derivative at the boundary of the plate. The plate is made by nonhomogeneous linearly elastic material belonging to a general class of anisotropy. For this severely ill-posed problem, under suitable a priori regularity assumptions on the boundary of the inclusion, we prove a stability estimate of log-log type.
DOI
10.1137/110852073
WOS
WOS:000305966100036
Archivio
http://hdl.handle.net/11368/2557030
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84881651649
Diritti
metadata only access
Soggetti
  • Inverse problem

  • elastic plate

  • stability estimate

  • unique continuation

  • rigid inclusion

Web of Science© citazioni
9
Data di acquisizione
Mar 28, 2024
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