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

[摘要] 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 Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] reaction-diffusion equation;stationary solutions;dumbbell domains;continuity