RT Journal Article T1 Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. A1 Arrieta Algarra, José María A1 Carvalho, Alexandre N. A1 Lozada-Cruz, Germán AB 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. PB Elsevier SN 0022-0396 YR 2006 FD 2006 LK https://hdl.handle.net/20.500.14352/49744 UL https://hdl.handle.net/20.500.14352/49744 LA eng NO DGES NO CNPq NO FAPESP DS Docta Complutense RD 16 may 2024