Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

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 estimates to our situation. As an application, observability inequa...

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Bibliographic Details
Main Authors: Fragnelli Genni, Mugnai Dimitri
Format: Article
Language:English
Published: De Gruyter 2013-11-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2013-0015