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arXiv:1211.6151 [math.AP]AbstractReferencesReviewsResources

Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

Genni Fragnelli, Dimitri Mugnai

Published 2012-11-26, updated 2014-02-07Version 2

We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on controllability results through Carleman estimates for the associated adjoint problem. The novelty of the present paper is that the degeneracy is also in the interior of the control region, so that no previous result can be adapted to this situation.

Comments: 40 pages
Journal: Adv. Nonlinear Anal. 2 (2013), 339-378
Categories: math.AP, math.OC
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