Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases
| Autor: | Maicon Sônego |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Applied Mathematics
010102 general mathematics Mathematical analysis Stability result 01 natural sciences 010101 applied mathematics symbols.namesake Dirichlet boundary condition Reaction–diffusion system symbols Ball (mathematics) Boundary value problem 0101 mathematics Surface of revolution Analysis Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 466:1190-1210 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2018.06.027 |
| Popis: | In this article we consider a one-dimensional reaction-diffusion problem with mixed boundary conditions. We provide conditions for the existence or nonexistence of stable nonconstant solutions whose derivative vanishes at some point. As an application, we obtain similar results for problems with Dirichlet boundary conditions posed in some symmetric domains: an n-dimensional ball, surfaces of revolution, and model manifolds. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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