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 |
| Summary: | 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. |
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| ISSN: | 1560-912X 1609-8439 |