Homogenization of Dirichlet parabolic problems for coefficients and open sets simultaneously variable and applications to optimal design
In a previous paper, we studied the homogenization of a sequence of parabolic linear Dirichlet problems, when the coefficients and the domains vary arbitrarily. Here, we improve the convergence result given in this paper by showing the strong convergence in every time. This is applied to obtain an e...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/138413 |
| Acceso en línea: | https://hdl.handle.net/11441/138413 https://doi.org/10.1016/j.cam.2005.04.047 |
| Access Level: | acceso abierto |
| Palabra clave: | Asymptotic behavior Homogenization Control Dirichlet problems Parabolic equations Perforated domains |
| Sumario: | In a previous paper, we studied the homogenization of a sequence of parabolic linear Dirichlet problems, when the coefficients and the domains vary arbitrarily. Here, we improve the convergence result given in this paper by showing the strong convergence in every time. This is applied to obtain an existence result for control problems in optimal design written in a relaxed form. The control variables are the material and the shape. |
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