Existence and nonexistence of traveling waves for a nonlocal monostable equation

2008/10/18 by Yagisita, Hiroki
#35K57 #35K65 #35K90 #45J05. #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/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.

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