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).