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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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2009 |
| País: | Perú |
| Institución: | Universidad Nacional Mayor de San Marcos |
| Repositorio: | Revistas - Universidad Nacional Mayor de San Marcos |
| Idioma: | español |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/9512 |
| Acceso en línea: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9512 |
| Access Level: | acceso abierto |
| Palabra clave: | Carleman inequality insensitizing controls observability inequality. Desigualdad de Carleman controles insensitivos desigualdad de observabilidad. |
| Sumario: | 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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