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).

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

Morassi A.;Sincich E.;
2021

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).
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/1220224
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact