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Carleman Estimates, Observability Inequalities, and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations

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Carleman Estimates, Observability Inequalities, and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations Synopsis

The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they 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.

About This Edition

ISBN: 9781470419547
Publication date:
Author: Genni Fragnelli, Dimitri Mugnai
Publisher: American Mathematical Society
Format: Paperback
Pagination: 83 pages
Series: Memoirs of the American Mathematical Society
Genres: Differential calculus and equations