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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Generic hyperbolicity of stationary solutions for a reaction-diffusion system

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Author(s):
Broche, Rita de Cassia D. S. [1] ; Pereira, Marcone C. [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Lavras, Dept Ciencias Exatas, BR-37200000 Lavras, MG - Brazil
[2] Univ Sao Paulo, Escola Artes Ciencias & Humanidades, BR-03028000 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 72, n. 12, p. 4638-4648, JUN 15 2010.
Web of Science Citations: 0
Abstract

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. (AU)

FAPESP's process: 06/06278-7 - Generic properties of partial differential equations
Grantee:Marcone Corrêa Pereira
Support Opportunities: Regular Research Grants