Asymptotic Behavior of a Nonlocal KPP Equation with a Stationary Ergodic Nonlinearity
Analysis of PDEs
2014-12-09 v2
Abstract
We consider a space-inhomogeneous Kolmogorov-Petrovskii-Piskunov (KPP) equation with a nonlocal diffusion and a stationary ergodic nonlinearity. By employing and adapting the theory of stochastic 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.1411.5423,
title = {Asymptotic Behavior of a Nonlocal KPP Equation with a Stationary Ergodic Nonlinearity},
author = {Yan Zhang},
journal= {arXiv preprint arXiv:1411.5423},
year = {2014}
}
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26 pages