Existence and nonexistence of traveling waves for a nonlocal monostable equation
arXiv:0810.3317
Abstract
We consider the nonlocal analogue of the Fisher-KPP equation. We do not assume that the Borel-measure is absolutely continuous with respect to the Lebesgue measure. We gives a sufficient condition for existence of traveling waves, and a necessary condition for existence of periodic traveling waves.
arXiv comment22 pages, submitted to Publications of the Research Institute for Mathematical Sciences. arXiv admin note: text overlap with arXiv:0807.3612