Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 149, Issue 8, Pages 3347-3352Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/15415
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Funding
- Hellenic Foundation for Research and Innovation (HFRI)
- General Secretariat for Research and Technology (GSRT) [1889]
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The study focuses on the Fisher-KPP reaction-diffusion equation in the whole space and proves that a solution must coincide with a planar traveling wave if it exhibits the same exponential decay with a speed larger than the minimal speed.
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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