Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613523 | Journal of Differential Equations | 2006 | 47 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis