Genni Fragnelli 
Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations [PDF ebook] 

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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.

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Formato PDF ● Pagine 83 ● ISBN 9781470429461 ● Casa editrice American Mathematical Society ● Pubblicato 2016 ● Scaricabile 3 volte ● Moneta EUR ● ID 8057087 ● Protezione dalla copia Adobe DRM
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