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DOUBLING INEQUALITY AT THE BOUNDARY FOR THE KIRCHHOFF-LOVE PLATE'S EQUATION WITH DIRICHLET CONDITIONS

Morassi, A
•
Rosset, E
•
Vessella, S
2020
  • journal article

Periodico
LE MATEMATICHE
Abstract
The main result of this paper is a doubling inequality at the boundary for solutions to the Kirchhoff-Love isotropic plate's equation satisfying homogeneous Dirichlet conditions. This result, like the three sphere inequality with optimal exponent at the boundary proved in Alessandrini, Rosset, Vessella, Arch. Ration. Mech. Anal. (2019), implies the Strong Unique Continuation Property at the Boundary (SUCPB). Our approach is based on a suitable Carleman estimate, and involves an ad hoc reflection of the solution. We also give a simple application of our main result, by weakening the standard hypotheses ensuring uniqueness for the Cauchy problem for the plate equation.
DOI
10.4418/2020.75.1.2
WOS
WOS:000513820600002
Archivio
http://hdl.handle.net/11368/2970681
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85095313625
https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/1958
Diritti
open access
license:creative commons
license uri:http://creativecommons.org/licenses/by/4.0/
FVG url
https://arts.units.it/bitstream/11368/2970681/1/MRV_LeMatematiche2020.pdf
Soggetti
  • isotropic elastic pla...

  • doubling inequalities...

  • unique continuation

  • Carleman estimates

Web of Science© citazioni
4
Data di acquisizione
Mar 25, 2024
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