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Dynamics in dumbbell domains I. Continuity of the set of equilibria

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Elsevier B.V.

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Abstract

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.

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reaction-diffusion equation, stationary solutions, dumbbell domains, continuity

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English

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Journal of Differential Equations. San Diego: Academic Press Inc. Elsevier B.V., v. 231, n. 2, p. 551-597, 2006.

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Instituto de Biociências, Letras e Ciências Exatas
IBILCE
Campus: São José do Rio Preto


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