Dynamics in dumbbell domains I. Continuity of the set of equilibria


Autoria(s): Arrieta, Jose M.; Carvalho, Alexandre N.; Lozada-Cruz, German
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

15/12/2006

Resumo

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.

Formato

551-597

Identificador

http://dx.doi.org/10.1016/j.jde.2006.06.002

Journal of Differential Equations. San Diego: Academic Press Inc. Elsevier B.V., v. 231, n. 2, p. 551-597, 2006.

0022-0396

http://hdl.handle.net/11449/38533

10.1016/j.jde.2006.06.002

WOS:000244851200006

WOS000244851200006.pdf

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Journal of Differential Equations

Direitos

openAccess

Palavras-Chave #reaction-diffusion equation #stationary solutions #dumbbell domains #continuity
Tipo

info:eu-repo/semantics/article