A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS
In this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L. de Teresa we prove a estímate of Carleman type for a system of parabolic equations involving gradient terms. This class of...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional Mayor de San Marcos
2014-09-01
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| Series: | Pesquimat |
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| Online Access: | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9512 |
| _version_ | 1811276009832448000 |
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| author | Víctor Rafael Cabanillas Zannini |
| author_facet | Víctor Rafael Cabanillas Zannini |
| author_sort | Víctor Rafael Cabanillas Zannini |
| collection | DOAJ |
| description | In this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L. de Teresa we prove a estímate of Carleman type for a system of parabolic equations involving gradient terms. This class of systems appears in the treatment of controls insensitizing the norm of the solution of a semilinear heat equation. |
| first_indexed | 2024-04-12T23:48:50Z |
| format | Article |
| id | doaj.art-22bf40c9cd664200b86ab22dc3c9b2cd |
| institution | Directory Open Access Journal |
| issn | 1560-912X 1609-8439 |
| language | Spanish |
| last_indexed | 2024-04-12T23:48:50Z |
| publishDate | 2014-09-01 |
| publisher | Universidad Nacional Mayor de San Marcos |
| record_format | Article |
| series | Pesquimat |
| spelling | doaj.art-22bf40c9cd664200b86ab22dc3c9b2cd2022-12-22T03:11:46ZspaUniversidad Nacional Mayor de San MarcosPesquimat1560-912X1609-84392014-09-0112210.15381/pes.v12i2.95128496A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONSVíctor Rafael Cabanillas Zannini0Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – PerúIn this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L. de Teresa we prove a estímate of Carleman type for a system of parabolic equations involving gradient terms. This class of systems appears in the treatment of controls insensitizing the norm of the solution of a semilinear heat equation.http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9512Desigualdad de Carlemancontroles insensitivosdesigualdad de observabilidad. |
| spellingShingle | Víctor Rafael Cabanillas Zannini A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS Pesquimat Desigualdad de Carleman controles insensitivos desigualdad de observabilidad. |
| title | A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS |
| title_full | A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS |
| title_fullStr | A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS |
| title_full_unstemmed | A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS |
| title_short | A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS |
| title_sort | carleman s inequality for a system of coupled parabolic equations |
| topic | Desigualdad de Carleman controles insensitivos desigualdad de observabilidad. |
| url | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9512 |
| work_keys_str_mv | AT victorrafaelcabanillaszannini acarlemansinequalityforasystemofcoupledparabolicequations AT victorrafaelcabanillaszannini carlemansinequalityforasystemofcoupledparabolicequations |