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

Hiroki Yagisita

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arXiv · 0807.3612

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

Hiroki Yagisita

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Abstract

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. At the end, we propose a discrete model that describes the measurement process.

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Hiroki Yagisita. 2008-07-23. Existence of traveling waves for a nonlocal monostable equation: an abstract approach. https://arxiv.org/abs/0807.3612

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