| Abstract: |
| We consider unbounded traveling wave solutions for one dimensional reaction-diffusion equations.
Main interest of this talk is existence of unbounded traveling wave solutions and the relation between unbounded and bounded traveling wave solutions.
We prove that there exists a threshold speed, called the minimal speed, that separates the existence and non-existence of unbounded wave solutions under few technical assumptions for nonlinearity, especially it includes bistable type nonlinearity, and we reconsider min-max type characterization of the threshold speeds. |
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