On the loss of mass for the heat equation in an exterior domain with general boundary conditions
In this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a compact set in RN . Different homogeneous boundary conditions are considered, including Dirichlet, Robin, and Neumann conditions. We determine the exact amount...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/88909 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/88909 |
| Access Level: | acceso abierto |
| Palabra clave: | Heat equation Exterior domain Mass loss Asymptotic mass Decay rates Dirichlet Neumann Robin Boundary conditions Ecuaciones diferenciales 1202.20 Ecuaciones Diferenciales en derivadas Parciales |
| Sumario: | In this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a compact set in RN . Different homogeneous boundary conditions are considered, including Dirichlet, Robin, and Neumann conditions. We determine the exact amount of mass loss and identify criteria for complete mass decay, in which the dimension of the space plays a key role. Furthermore, the paper provides explicit mass decay rates. |
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