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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/38533
Title: 
Dynamics in dumbbell domains I. Continuity of the set of equilibria
Author(s): 
Institution: 
  • Univ Complutense Madrid
  • Universidade de São Paulo (USP)
  • Universidade Estadual Paulista (UNESP)
ISSN: 
0022-0396
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.
Issue Date: 
15-Dec-2006
Citation: 
Journal of Differential Equations. San Diego: Academic Press Inc. Elsevier B.V., v. 231, n. 2, p. 551-597, 2006.
Time Duration: 
551-597
Publisher: 
Elsevier B.V.
Keywords: 
  • reaction-diffusion equation
  • stationary solutions
  • dumbbell domains
  • continuity
Source: 
http://dx.doi.org/10.1016/j.jde.2006.06.002
URI: 
Access Rights: 
Acesso aberto
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/38533
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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