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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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