Semistable extremal ground states for nonlinear evolution equations in unbounded domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:338

Article

Rodriguez-Bernal, Anibal¹  Vidal-Lopez, Alejandro¹ 

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

关键词: reaction-diffusion;    unbounded domains;    extremal ground state;    attractors;    logistic equation;   

DOI  :  10.1016/j.jmaa.2007.05.037

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free