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Optimal Stability in the Identification of a Rigid Inclusion in an Isotropic Kirchhoff--Love Plate

Morassi, Antonino
•
Rosset, Edi
•
Vessella, Sergio
2019
  • 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, and isotropic material. Under suitable a priori regularity assumptions on the boundary of the inclusion, we prove a constructive stability estimate of log type. A key mathematical tool is a recently proved optimal three-spheres inequality at the boundary for solutions to the Kirchhoff--Love plate's equation.
DOI
10.1137/18M1203286
WOS
WOS:000464913300004
Archivio
http://hdl.handle.net/11368/2944090
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85065507251
https://doi.org/10.1137/18M1203286
Diritti
open access
license:copyright editore
license:digital rights management non definito
FVG url
https://arts.units.it/request-item?handle=11368/2944090
Soggetti
  • inverse problem

  • elastic plate

  • unique continuation

  • stability estimate

  • rigid inclusion

Web of Science© citazioni
7
Data di acquisizione
Mar 28, 2024
Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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