Skip to content
BY-NC-ND 3.0 license Open Access Published by De Gruyter August 30, 2013

Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

  • Genni Fragnelli EMAIL logo and Dimitri Mugnai

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 estimates to our situation. As an application, observability inequalities are established.

Received: 2013-07-09
Revised: 2013-08-02
Accepted: 2013-08-04
Published Online: 2013-08-30
Published in Print: 2013-11-01

© 2013 by Walter de Gruyter Berlin Boston

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Downloaded on 28.4.2024 from https://www.degruyter.com/document/doi/10.1515/anona-2013-0015/html
Scroll to top button