Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.

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Arrieta Algarra, José María and Carvalho, Alexandre N. and Lozada-Cruz, Germán (2006) Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. Journal of Differential Equations, 231 (2). 551-597 . ISSN 0022-0396

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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.

Item Type:	Article
Uncontrolled Keywords:	Reaction-diffusion equation; Stationary solutions; Dumbbell domains; continuity; Homogeneous Neumann boundary conditions
Subjects:	Sciences > Mathematics > Differential equations
ID Code:	13438
Deposited On:	19 Oct 2011 07:21
Last Modified:	12 Dec 2018 15:07

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