Existence of traveling waves for a nonlocal monostable equation: an abstract approach

Details Existence of traveling waves for a nonlocal monostable equation: an abstract approach Existence of traveling waves for a nonlocal monostable equation: an abstract approach

2008-07-23

arxiv.org/abs/0807.3612v1

Mathematics

Analysis of PDEs

23 pages, submitted to Discrete and Continuous Dynamical Systems - Series A

Scientific paper

We consider a nonlocal analogue of the Fisher-KPP equation. We do not assume that the Borel-measure for the convolution is absolutely continuous. In order to show the main result, we modify a recursive method for abstract monotone discrete dynamical systems by Weinberger. We note that the monotone semiflow generated by the equation does not have compactness with respect to the compact-open topology.

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