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Generic hyperbolicity of stationary solutions for a reaction-diffusion system |
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| Authors: | Rita de Cá ssia D.S. Broche |
| Affiliation: | a Departamento de Ciências Exatas, Universidade Federal de Lavras, Caixa Postal 3037, CEP 37200-000, Lavras, MG, Brazil b Escola de Artes, Ciências e Humanidades, Universidade de São Paulo, Av. Arlindo Bettio, 1000 - Ermelino Matarazzo, CEP 03028-000, São Paulo, SP, Brazil |
| 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 C2-functions equipped with the Whitney Topology. To accomplish this, we combine Baire’s Lemma and the usual Transversality Theorem. |
| Keywords: | 35B40 35E99 35K50 35K57 |
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