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arXiv · 1411.5095

Asymptotic Behavior of a Nonlocal KPP Equation with an Almost Periodic Nonlinearity

Yan Zhang
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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.

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Yan Zhang. 2014-11-19. Asymptotic Behavior of a Nonlocal KPP Equation with an Almost Periodic Nonlinearity. https://arxiv.org/abs/1411.5095

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