Generic hyperbolicity of stationary solutions for a reaction-diffusion system
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
18/10/2012
18/10/2012
2010
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| Resumo |
In this paper, we study the generic hyperbolicity of equilibria of a reaction-diffusion system with respect to nonlinear terms in the set of C(2)-functions equipped with the Whitney Topology. To accomplish this, we combine Baire`s Lemma and the usual Transversality Theorem. (C) 2010 Elsevier Ltd. All rights reserved. FAPEMIG, MG-Brazil[APQ-3701-5.01/07] FAPESP, SP-Brazil[2006/06278-7] CNPq[305210/2008-4] |
| Identificador |
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.72, n.12, p.4638-4648, 2010 0362-546X http://producao.usp.br/handle/BDPI/17135 10.1016/j.na.2010.02.042 |
| Idioma(s) |
eng |
| Publicador |
PERGAMON-ELSEVIER SCIENCE LTD |
| Relação |
Nonlinear Analysis-theory Methods & Applications |
| Direitos |
restrictedAccess Copyright PERGAMON-ELSEVIER SCIENCE LTD |
| Palavras-Chave | #Reaction-diffusion system #Stationary solutions #Hyperbolic equilibrium #Generic properties #PLATE EQUATION #SIMPLICITY #STABILIZATION #EQUILIBRIA #PROPERTY #SPECTRUM #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
