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Expression of time almost periodic traveling wave solutions to a class of competition diffusion systems


Authors: Fang Li and Bendong Lou
Journal: Proc. Amer. Math. Soc. 146 (2018), 2163-2171
MSC (2010): Primary 35K57, 35C07, 35B15
DOI: https://doi.org/10.1090/proc/13923
Published electronically: January 16, 2018
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Abstract: In this paper we consider a class of competition diffusion systems with time almost periodic coefficients. We show that any almost periodic traveling wave solution to such a system is given by a decomposition formula, that is, each component of the solution equals the product of the corresponding diffusion coefficient and the classical traveling wave solution (with a different time scale).


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Additional Information

Fang Li
Affiliation: Mathematics & Science College, Shanghai Normal University, Shanghai 200234, People’s Republic of China.
Email: lifwx@shnu.edu.cn

Bendong Lou
Affiliation: Mathematics & Science College, Shanghai Normal University, Shanghai 200234, People’s Republic of China.
Email: lou@shnu.edu.cn

DOI: https://doi.org/10.1090/proc/13923
Keywords: Competition diffusion system, almost periodic traveling wave solution, decomposition formula
Received by editor(s): May 8, 2017
Received by editor(s) in revised form: August 2, 2017
Published electronically: January 16, 2018
Additional Notes: Bendong Lou served as corresponding author.
This research was partly supported by NSFC (No. 11671262) and China Postdoctoral Science Foundation funded project.
Communicated by: Wenxian Shen
Article copyright: © Copyright 2018 American Mathematical Society

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