Nonlocal anisotropic dispersal with monostable nonlinearity
Analysis of PDEs
2011-06-23 v1 Classical Analysis and ODEs
Abstract
We study the travelling wave problem J\astu - u - cu' + f (u) = 0 in R, u(-\infty) = 0, u(+\infty) = 1 with an asymmetric kernel J and a monostable nonlinearity. We prove the existence of a minimal speed, and under certain hypothesis the uniqueness of the profile for c = 0. For c = 0 we show examples of nonuniqueness.
Cite
@article{arxiv.1106.4531,
title = {Nonlocal anisotropic dispersal with monostable nonlinearity},
author = {Jerome Coville and Juan Davila and Salome Martinez},
journal= {arXiv preprint arXiv:1106.4531},
year = {2011}
}