On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions
We give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at bounded initial data is bounded locally around a certain point x0 of the boundary, uniformly for all positive time. The conditions imposed are of...
| Autor: | |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49761 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/49761 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517.9 Local boundedness at the boundary Nonlinear boundary conditions Bounded solutions Blow-up Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Resumo: | We give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at bounded initial data is bounded locally around a certain point x0 of the boundary, uniformly for all positive time. The conditions imposed are of a local nature and need only to hold in a small neighborhood of the point x0. |
|---|