Blow-up for a nonlocal nonlinear diffusion equation with source
We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary. We prove existence, uniqueness of solutions and we give a comparison principle for its solutions. The blow...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Colombia |
| Recursos: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/42247 |
| Acesso em linha: | https://repositorio.unal.edu.co/handle/unal/42247 http://bdigital.unal.edu.co/32344/ |
| Access Level: | acceso abierto |
| Palavra-chave: | Nonlocal diffusion Neumann boundary conditions Blow-up 35K57 35B40 |
| Resumo: | We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary. We prove existence, uniqueness of solutions and we give a comparison principle for its solutions. The blow-up phenomenon is analyzed. Finally, the blow up rate is given for some particular sources. |
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