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arXiv · 0810.3398

Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach

Hiroki Yagisita
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Abstract

We consider traveling fronts to the nonlocal bistable equation. We do not assume that the Borel-measure is absolutely continuous with respect to the Lebesgue measure. We show that there is a traveling wave solution with monotone profile. In order to prove this result, we would develop a recursive method for abstract monotone dynamical systems and apply it to the equation.

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Hiroki Yagisita. 2008-10-19. Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach. https://arxiv.org/abs/0810.3398

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