| Description |
1 online resource (v, 84 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 242, number 1146 |
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Memoirs of the American Mathematical Society ; no. 1146.
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| Contents |
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 |
| 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 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 |
| Notes |
"Volume 242, number 1146 (third of 4 numbers), July 2016." |
| Bibliography |
Includes bibliographical references (pages 81-84) |
| Notes |
Online resource; title from PDF title page (viewed April 27, 2016) |
| Subject |
Inequalities (Mathematics)
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Differential equations, Parabolic.
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Carleman theorem.
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Sobolev spaces.
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Carleman theorem
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Differential equations, Parabolic
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Inequalities (Mathematics)
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Sobolev spaces
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| Form |
Electronic book
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| Author |
Mugnai, Dimitri, 1972- author.
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American Mathematical Society, publisher
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| ISBN |
9781470429461 |
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1470429462 |
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