Rodríguez Bernal, Aníbal and 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
Official URL: http://www.sciencedirect.com/science/journal/0022247X
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.
|Uncontrolled Keywords:||Reaction-diffusion; Unbounded domains; Extremal ground state; Attractors; Logistic equation|
|Subjects:||Sciences > Mathematics > Differential equations|
|Deposited On:||30 May 2011 07:32|
|Last Modified:||06 Feb 2014 09:32|
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