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Doubling inequality at the boundary for the Kirchhoff-Love plate's equation with supported conditions

Morassi A.
•
Rosset E.
•
Sincich E.
•
Vessella S.
2021
  • journal article

Periodico
RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITAÌ€ DI TRIESTE
Abstract
In this article we derive a doubling inequality at the boundary for solutions to the Kirchho-Love isotropic plate's equation satisfying supported boundary conditions. To this end, we combine the use of a suitable conformal mapping which attens the boundary and a re- ection argument which guarantees the needed regularity of the extended solution. We nally apply inequalities of Carleman type in order to derive the result. The latter implies Strong Unique Continuation Property at the boundary (SUCPB).
DOI
10.13137/2464-8728/32275
Archivio
http://hdl.handle.net/11390/1220224
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85123517293
https://ricerca.unityfvg.it/handle/11390/1220224
Diritti
metadata only access
Soggetti
  • Doubling inequality a...

  • Kirchhoff-love elasti...

  • Supported condition

  • Unique continuation

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