On the resolution of the heat equation in unbounded non-regular domains of R³
Abstract We will prove well posedness and regularity results for the bidimensional heat equation, subject to mixed Dirichlet-Neumann type boundary conditions on the parabolic boundary of an unbounded (in one space variable direction) time-dependent domain. Our results are proved in anisotropic Hilbe...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Chile |
| Institución: | Agencia Nacional de Investigación y Desarrollo |
| Repositorio: | SciELO Chile |
| OAI Identifier: | oai:scielo:S0716-09172022000300579 |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172022000300579 |
| Access Level: | acceso abierto |
| Palabra clave: | heat equation unbounded non-regular domains Dirichlet-Neumann condition anisotropic Sobolev spaces |
| Sumario: | Abstract We will prove well posedness and regularity results for the bidimensional heat equation, subject to mixed Dirichlet-Neumann type boundary conditions on the parabolic boundary of an unbounded (in one space variable direction) time-dependent domain. Our results are proved in anisotropic Hilbertian Sobolev spaces by using the domain decomposition method. This work complements the results obtained in [13] in the one-space variable case. |
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