Biblioteca de la Universidad Complutense de Madrid

Semistable extremal ground states for nonlinear evolution equations in unbounded domains

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Rodríguez Bernal, Aníbal y Vidal López, Alejandro (2008) Semistable extremal ground states for nonlinear evolution equations in unbounded domains. Journal of Mathematical Analysis and Applications , 338 (1 ). pp. 675-694. ISSN 0022-247X

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URL Oficial: http://www.sciencedirect.com/science/journal/0022247X



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Reaction-diffusion; Unbounded domains; Extremal ground state; Attractors; Logistic equation
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:12781
Depositado:30 May 2011 07:32
Última Modificación:06 Feb 2014 09:32

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