An iterative method for non-autonomous nonlocal reaction-diffusion equations
In this paper we provide a method to prove the existence of weak solutions for a type of non-autonomous nonlocal reactiondiffusion equations. Due to the presence of the nonlocal operator in the diffusion term, we cannot apply the Monotonicity Method directly. To use it, we build an auxiliary problem...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/162505 |
| Acesso em linha: | https://hdl.handle.net/11441/162505 https://doi.org/10.3934/cpaa.2015.14.1603 |
| Access Level: | acceso abierto |
| Palavra-chave: | Nonlocal diffusion Non-autonomous reaction-diffusion equations monotone, iterative compactness arguments |
| Resumo: | In this paper we provide a method to prove the existence of weak solutions for a type of non-autonomous nonlocal reactiondiffusion equations. Due to the presence of the nonlocal operator in the diffusion term, we cannot apply the Monotonicity Method directly. To use it, we build an auxiliary problem with linear diffusion and later, through iterations and compactness arguments, we show the existence of solutions for the nonlocal problem. |
|---|