Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

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...

Full description

Bibliographic Details
Main Authors: Fragnelli Genni, Mugnai Dimitri
Format: Article
Language:English
Published: De Gruyter 2013-11-01
Series:Advances in Nonlinear Analysis
Subjects:
degenerate equation
interior degeneracy
carleman estimates
observability inequalities
Online Access:https://doi.org/10.1515/anona-2013-0015
Description
Summary: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 inequalities are established.
ISSN:2191-9496
2191-950X

Similar Items