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
Tabla de Contenidos:
  • Introduction
  • Mathematical tools and preliminary results
  • Carleman estimate for non degenerate parabolic problems with non smooth coefficient
  • Carleman estimate for degenerate non smooth parabolic problems
  • Observability inequalities and application to null controllability
  • Linear and Semilinear Extensions
  • Final Comments
  • Appendix A. Rigorous derivation of Lemma 3.5.

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