Semistable extremal ground states for nonlinear evolution equations in unbounded domains
In this paper we show that dissipative reaction-diffusion equations in unbounded domains posses extremal semistable ground states equilibria, which bound asymptotically the global dynamics. Uniqueness of such positive ground state and their approximation by extremal equilibria in bounded domains is...
| Autores: | , |
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| 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:20.500.14352/49694 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/49694 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517.9 Reaction-diffusion Unbounded domains Extremal ground state Attractors Logistic equation Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Resumo: | In this paper we show that dissipative reaction-diffusion equations in unbounded domains posses extremal semistable ground states equilibria, which bound asymptotically the global dynamics. Uniqueness of such positive ground state and their approximation by extremal equilibria in bounded domains is also studied. The results are then applied to the important case of logistic equations. (C) 2007 Elsevier Inc. All rights reserved. |
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