%0 Journal Article
%A Arrieta Algarra, José María
%A Carvalho, Alexandre N.
%A Lozada-Cruz, Germán
%T Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
%D 2006
%@ 0022-0396
%U https://hdl.handle.net/20.500.14352/49744
%X 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.
%~