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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 non-homogeneous, 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. 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/11390/1150274
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85065507251
https://epubs.siam.org/doi/pdf/10.1137/18M1203286
Diritti
open access
Soggetti
  • Inverse problems, ela...

Scopus© citazioni
6
Data di acquisizione
Jun 7, 2022
Vedi dettagli
Web of Science© citazioni
7
Data di acquisizione
Mar 28, 2024
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