Dynamics in dumbbell domains I. Continuity of the set of equilibria
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Data
2006-12-15
Autores
Arrieta, Jose M.
Carvalho, Alexandre N.
Lozada-Cruz, German
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
We analyze the dynamics of a reaction-diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the continuity of the set of equilibria and of its linear unstable manifolds. (c) 2006 Elsevier B.V. All rights reserved.
Descrição
Palavras-chave
reaction-diffusion equation, stationary solutions, dumbbell domains, continuity
Como citar
Journal of Differential Equations. San Diego: Academic Press Inc. Elsevier B.V., v. 231, n. 2, p. 551-597, 2006.