We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem. The novelty of interior degeneracy does not let us adapt previous Carleman estimate to our situation. As an application, observability inequalities are established.
Carleman estimates and observability inequalities for parabolic equations with interior degeneracy
MUGNAI, Dimitri
2013
Abstract
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem. The novelty of interior degeneracy does not let us adapt previous Carleman estimate to our situation. As an application, observability inequalities are established.File in questo prodotto:
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