Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach
Analysis of PDEs
2008-10-21 v1
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.
Keywords
Cite
@article{arxiv.0810.3398,
title = {Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach},
author = {Hiroki Yagisita},
journal= {arXiv preprint arXiv:0810.3398},
year = {2008}
}
Comments
27 pages, submitted to Publications of the Research Institute for Mathematical Sciences