A one-dimensional symmetry result for entire solutions to the Fisher-KPP equation
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- by Christos Sourdis PDF
- Proc. Amer. Math. Soc. 149 (2021), 3347-3352 Request permission
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.References
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Additional Information
- Christos Sourdis
- Affiliation: Department of Mathematics, National and Kapodistrian University of Athens, Athens, Greece
- MR Author ID: 795542
- Email: sourdis@uoc.gr
- Received by editor(s): July 24, 2020
- Received by editor(s) in revised form: November 12, 2020
- Published electronically: May 10, 2021
- Additional Notes: This work has received funding from the Hellenic Foundation for Research and Innovation (HFRI) and the General Secretariat for Research and Technology (GSRT), under grant agreement No 1889.
- Communicated by: Catherine Sulem
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 3347-3352
- MSC (2020): Primary 35K10, 35K58; Secondary 35B50
- DOI: https://doi.org/10.1090/proc/15415
- MathSciNet review: 4273139