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arXiv · 1605.01464

Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves

Soyeun Jung·Kevin Zumbrun
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Abstract

In this paper, extending previous results of \cite{J1}, we obtain pointwise nonlinear stability of periodic traveling reaction-diffusion waves, assuming spectral linearized stability, under nonlocalized perturbations. More precisely, we establish pointwise estimate of nonlocalized modulational perturbation under a small initial perturbation consisting of a nonlocalized modulation plus a localized perturbation decaying algebraically.

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Soyeun Jung, Kevin Zumbrun. 2016-05-05. Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves. https://arxiv.org/abs/1605.01464

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