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- Title:
- Dynamics in dumbbell domains I. Continuity of the set of equilibria
- Univ Complutense Madrid
- Universidade de São Paulo (USP)
- Universidade Estadual Paulista (UNESP)
- 0022-0396
- 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.
- 15-Dec-2006
- Journal of Differential Equations. San Diego: Academic Press Inc. Elsevier B.V., v. 231, n. 2, p. 551-597, 2006.
- 551-597
- Elsevier B.V.
- reaction-diffusion equation
- stationary solutions
- dumbbell domains
- continuity
- http://dx.doi.org/10.1016/j.jde.2006.06.002
- Acesso aberto
- outro
- http://repositorio.unesp.br/handle/11449/38533
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