| Volume 14, Number 4, 2024, Pages - DOI：10.11948/JAAC-2023-0192 |
| Stability of Traveling Wave Fronts for Nonlocal Diffusive Systems |
| Shengqiang Zhang,Zhixian Yu,Yanling Meng |
| Keywords:Exponential stability, nonlocal dispersals, comparison principle, weighted energy. |
| Abstract: |
| The paper is concerned with stability of traveling wave fronts for nonlocal diffusive systems. We adopt L1-weighted, L1- and L2-energy estimates for the perturbation systems, and show that all solutions of the Cauchy problem for the considered systems converge exponentially to traveling wave fronts provided that the initial perturbations around the traveling wave fronts belong to a suitable weighted Sobolev space. |
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