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Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations (Memoirs of the American Mathematical Society)

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Description

About the Author Genni Fragnelli, University Bari Aldo Moro, Italy.Dimitri Mugnai, University of Perugia, Italy. Product Description 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.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 June 2016
Listed Since
06 May 2016

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