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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Official URL: http://www.sciencedirect.com/science/journal/00220396
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 09:21 |
| Last Modified: | 19 Oct 2011 09:21 |
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