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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:
Acceso en línea:Texto completo

MARC

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100 1 |a Fragnelli, Genni,  |d 1975-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJhCDV83Jj9Cj3mRQr3bBP 
245 1 0 |a Carleman estimates, observability inequalities, and null controllability for interior degenerate nonsmooth parabolic equations /  |c Genni Fragnelli, Dimitri Mugnai. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2016. 
264 4 |c ©2016 
300 |a 1 online resource (v, 84 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 242, number 1146 
588 0 |a Online resource; title from PDF title page (viewed April 27, 2016). 
500 |a "Volume 242, number 1146 (third of 4 numbers), July 2016." 
504 |a Includes bibliographical references (pages 81-84). 
520 |a 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. 
505 0 0 |t Introduction --  |t Mathematical tools and preliminary results --  |t Carleman estimate for non degenerate parabolic problems with non smooth coefficient --  |t Carleman estimate for degenerate non smooth parabolic problems --  |t Observability inequalities and application to null controllability --  |t Linear and Semilinear Extensions --  |t Final Comments --  |g Appendix A.  |t Rigorous derivation of Lemma 3.5. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Inequalities (Mathematics) 
650 0 |a Differential equations, Parabolic. 
650 0 |a Carleman theorem. 
650 0 |a Sobolev spaces. 
650 6 |a Inégalités (Mathématiques) 
650 6 |a Équations différentielles paraboliques. 
650 6 |a Méthode de Carleman. 
650 6 |a Espaces de Sobolev. 
650 7 |a Carleman theorem  |2 fast 
650 7 |a Differential equations, Parabolic  |2 fast 
650 7 |a Inequalities (Mathematics)  |2 fast 
650 7 |a Sobolev spaces  |2 fast 
700 1 |a Mugnai, Dimitri,  |d 1972-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjGRQkFHx7g3RvpRy8fhjK 
710 2 |a American Mathematical Society,  |e publisher. 
758 |i has work:  |a Carleman estimates, observability inequalities, and null controllability for interior degenerate nonsmooth parabolic equations (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGv9vYDyRM3m63ccfBv7f3  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Fragnelli, Genni, 1975-  |t Carleman estimates, observability inequalities, and null controllability for interior degenerate nonsmooth parabolic equations.  |d Providence, Rhode Island : American Mathematical Society, 2016  |z 9781470419547  |w (DLC) 2016011016  |w (OCoLC)945170047 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1146. 
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