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arXiv · 2007.09922

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

Christos Sourdis
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Abstract

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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Christos Sourdis. 2020-07-20. A one-dimensional symmetry result for entire solutions to the Fisher-KPP equation. https://arxiv.org/abs/2007.09922

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