Asymptotic Behavior of a Nonlocal KPP Equation with an Almost Periodic Nonlinearity
Analysis of PDEs
2016-01-19 v4
Abstract
We consider a space-inhomogeneous Kolmogorov-Petrovskii-Piskunov (KPP) equation with a nonlocal diffusion and an almost-periodic nonlinearity. By employing and adapting the theory of homogenization, we show that solutions of this equation asymptotically converge to its stationary states in regions of space separated by a front that is determined by a Hamilton-Jacobi variational inequality.
Keywords
Cite
@article{arxiv.1411.5095,
title = {Asymptotic Behavior of a Nonlocal KPP Equation with an Almost Periodic Nonlinearity},
author = {Yan Zhang},
journal= {arXiv preprint arXiv:1411.5095},
year = {2016}
}
Comments
15 pages