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

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چکیده

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

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2021

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/15415