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Stable determination of a rigid inclusion in an anisotropic plate

MORASSI, Antonino
•
ROSSET E
•
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 non-homogeneous 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/11390/867573
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84881651649
Diritti
closed access
Soggetti
  • Inverse problem

  • Elastic plate

  • Stability estimate

  • Unique continuation

  • Rigid inclusion

Scopus© citazioni
7
Data di acquisizione
Jun 2, 2022
Vedi dettagli
Web of Science© citazioni
9
Data di acquisizione
Mar 24, 2024
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