Carleman estimates, observability inequalities, and null controllability for interior degenerate nonsmooth parabolic equations /

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 two. First, the coefficient of the leading operator only belongs to a Sob...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Fragnelli, Genni, 1975- (Autor), Mugnai, Dimitri, 1972- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2016.
Colección:Memoirs of the American Mathematical Society ; no. 1146.
Temas:
Inequalities (Mathematics)
Differential equations, Parabolic.
Carleman theorem.
Sobolev spaces.
Inégalités (Mathématiques)
Équations différentielles paraboliques.
Méthode de Carleman.
Espaces de Sobolev.
Carleman theorem
Differential equations, Parabolic
Sobolev spaces
Acceso en línea:Texto completo
Descripción
Sumario: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 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.
Notas:"Volume 242, number 1146 (third of 4 numbers), July 2016."
Descripción Física:1 online resource (v, 84 pages)
Bibliografía:Includes bibliographical references (pages 81-84).
ISBN:9781470429461
1470429462
ISSN:0065-9266 ;

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