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

Morassi, Antonino
•
Rosset, Edi
•
Sincich, Eva
•
Vessella, Sergio
2021
  • Controlled Vocabulary...

Periodico
Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
Abstract
In this article we derive a doubling inequality at the boundary for solutions to the Kirchhoff-Love isotropic plate’s equation satisfying supported boundary conditions. To this end, we combine the use of a suitable conformal mapping which flattens the boundary and a reflection argument which guarantees the needed regularity of the extended solution. We finally 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/10077/32275
Diritti
open access
Soggetti
  • Kirchhoff–Love elastic...

  • doubling inequality a...

  • unique continuation

  • supported conditions

Scopus© citazioni
0
Data di acquisizione
Jun 14, 2022
Vedi dettagli
google-scholar
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