Null controllability for a parabolic-elliptic coupled system
In this paper, we prove the null controllability of some parabolicelliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and suitable Carleman estimates for the solutions to the adjoint system. Under appro...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/43104 |
| Acceso en línea: | http://hdl.handle.net/11441/43104 https://doi.org/10.1007/s00574-013-0014-x |
| Access Level: | acceso abierto |
| Palabra clave: | null controllability parabolic-elliptic systems Carleman inequalities |
| Sumario: | In this paper, we prove the null controllability of some parabolicelliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and suitable Carleman estimates for the solutions to the adjoint system. Under appropriate assumptions, we also prove that the solution can be obtained as the asymptotic limit of some similar parabolic systems. |
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