## Existence and nonexistence of traveling waves for a nonlocal monostable equation

Yagisita, Hiroki
##### Description
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.
Comment: 22 pages, submitted to Publications of the Research Institute for Mathematical Sciences. arXiv admin note: text overlap with arXiv:0807.3612
##### Keywords
Mathematics - Analysis of PDEs, 35K57, 35K65, 35K90, 45J05.