Existence and nonexistence of traveling waves for a nonlocal monostable equation

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

2008-10-18

arxiv.org/abs/0810.3317v1

Mathematics

Analysis of PDEs

22 pages, submitted to Publications of the Research Institute for Mathematical Sciences

Scientific paper

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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