Carleman estimates, observability inequalities, and null controllability for interior degenerate nonsmooth parabolic equations / Genni Fragnelli, Dimitri Mugnai
Type de document : MonographieCollection : Memoirs of the American Mathematical Society, 1146Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2016Description : 1 vol. (V-84 p.) ; 26 cmISBN: 9781470419547.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 81-84.Sujet MSC : 35K65, PDEs - Parabolic equations and parabolic systems, Degenerate parabolic equations93B05, Systems theory; control, Controllability
93B07, Systems theory; control, Observability
93C30, Model systems in control theory, Control/observation systems governed by functional relations other than differential equations
35Q93, PDEs of mathematical physics and other areas of application, PDEs in connection with control and optimizationEn-ligne : zbMath | MSN | AMS-résumé
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | Séries AMS (Browse shelf(Opens below)) | Available | 12516-01 |
Bibliogr. p. 81-84
Summary: 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 twofold. 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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