Abstract
This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. In an abstract setting, we establish the existence of traveling waves for discrete time and continuous-time monotone semiflows in homogeneous and periodic habitats. The results are then extended to monotone semiflows with weak compactness.We also apply the theory to four classes of evolution systems.
| Original language | English |
|---|---|
| Pages (from-to) | 2243-2288 |
| Number of pages | 46 |
| Journal | Journal of the European Mathematical Society |
| Volume | 17 |
| Issue number | 9 |
| DOIs | |
| State | Published - 2015 |
Keywords
- Bistable dynamics
- Monotone semiflows
- Periodic habitat
- Traveling waves
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