Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach
Abstract
Description
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.
27 pages, submitted to Publications of the Research Institute for Mathematical Sciences
27 pages, submitted to Publications of the Research Institute for Mathematical Sciences