Anisotropic nonlocal diffusion equations with singular forcing
We prove existence, uniqueness and regularity of solutions of nonlocal heat equations associated to anisotropic stable diffusion operators. The main features are that the right-hand side has very few regularity and that the spectral measure can be singular in some directions. The proofs require havi...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Recursos: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/736200 |
| Acesso em linha: | https://hdl.handle.net/10486/736200 https://dx.doi.org/10.1016/j.anihpc.2020.04.001 |
| Access Level: | acceso abierto |
| Palavra-chave: | Non-local diffusion anisotropic stable operators well-posedness regularity singular forcing Matemáticas |
| Resumo: | We prove existence, uniqueness and regularity of solutions of nonlocal heat equations associated to anisotropic stable diffusion operators. The main features are that the right-hand side has very few regularity and that the spectral measure can be singular in some directions. The proofs require having good enough estimates for the corresponding heat kernels and their derivatives |
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