Spreading speeds of nonlocal KPP equations in heterogeneous media
Analysis of PDEs
2018-07-18 v1
Abstract
In this paper, we prove the existence of the spreading speed of nonlocal KPP equations in two cases: 1. The media is almost periodic and the kernel of diffusion is continuous; 2. The media is periodic and the diffusion is not continuous but weak irreducible. To do this, we develop the theory of generalized principal eigenvalues, the method homogenization and special Harnack's inequalities of nonlocal diffusion equations.
Keywords
Cite
@article{arxiv.1807.06295,
title = {Spreading speeds of nonlocal KPP equations in heterogeneous media},
author = {Xing Liang and Tao Zhou},
journal= {arXiv preprint arXiv:1807.06295},
year = {2018}
}