Fisher-KPP方程全解的一维对称性结果

arXiv: Analysis of PDEs Pub Date : 2020-07-20 DOI:10.1090/proc/15415

C. Sourdis

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引用次数: 1

摘要

我们考虑整个空间中的Fisher-KPP反应扩散方程。我们证明，如果一个解在主阶和所有时间(正负)具有与平面行波相同的指数衰减，且速度大于其前缘的最小速度，则它必须与上述行波重合。

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A one-dimensional symmetry result for entire solutions to the Fisher-KPP equation

We consider the Fisher-KPP reaction-diffusion equation in the whole space. We prove that if a solution has, to main order and for all times (positive and negative), the same exponential decay as a planar traveling wave with speed larger than the minimal one at its leading edge, then it has to coincide with the aforementioned traveling wave.

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arXiv: Analysis of PDEs

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