Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves
Analysis of PDEs
2016-05-06 v1
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.
Cite
@article{arxiv.1605.01464,
title = {Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves},
author = {Soyeun Jung and Kevin Zumbrun},
journal= {arXiv preprint arXiv:1605.01464},
year = {2016}
}