Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
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 unstabl...
| Authors: | ; ; |
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| Format: | Article |
| Publication date: | 2006 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49744 |
| Online Access: | https://hdl.handle.net/20.500.14352/49744 |
| Access Level: | Open access |
| Keyword: | 517.9 Reaction-diffusion equation Stationary solutions Dumbbell domains continuity Homogeneous Neumann boundary conditions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Summary: | 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. |
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