Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations

Fragnelli, Genni; Mugnai, Dimitri

doi:10.1090/memo/1146

Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations

Author(s)

Fragnelli, Genni

Mugnai, Dimitri

Date Issued

2016

Type

article

Volume

242

Issue

1146

DOI

10.1090/memo/1146

Journal

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Abstract

We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.

Subjects

Carleman estimates

degenerate equation

null controllability

Handle

http://hdl.handle.net/2067/47488

File(s)

Name

accepted_version.pdf

Description

According to the policy of the publisher, this is the accepted version. The original publication is available at the publishers's site http://www.ams.org/books/memo/1146/

Size

576.09 KB

Format

Adobe PDF

Checksum (MD5)

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