Publication: Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
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Publication Date
2006
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Elsevier
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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.