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Title: | Generic hyperbolicity of stationary solutions for a reaction–diffusion system |
Keywords: | Reaction–diffusion system Stationary solutions Hyperbolic equilibrium Generic properties Sistemas de Reação-Difusão Soluções estacionárias Equilíbrio hiperbólico Propriedades genéricas |
Issue Date: | Jun-2010 |
Publisher: | Elsevier |
Citation: | BROCHE, R. de C. D. S.; PEREIRA, M. C. Generic hyperbolicity of stationary solutions for a reaction-diffusion system. Nonlinear Analysis: Theory, Methods & Applications, [S.I.], v. 72, n. 12, p. 4638–4648, June 2010. DOI: https://doi.org/10.1016/j.na.2010.02.042. |
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 -functions equipped with the Whitney Topology. To accomplish this, we combine Baire’s Lemma and the usual Transversality Theorem. |
URI: | https://doi.org/10.1016/j.na.2010.02.042 http://repositorio.ufla.br/jspui/handle/1/45920 |
Appears in Collections: | DEX - Artigos publicados em periódicos |
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