Electron. J. Diff. Equ.,
Vol. 2016 (2016), No. 86, pp. 1-15.
Exponential stability of traveling waves for non-monotone
delayed reaction-diffusion equations
Yixin Liu, Zhixian Yu, Jing Xia
Abstract:
This article concerns the exponential stability of non-critical
traveling waves (the wave speed is greater than the minimum speed)
for non-monotone time-delayed reaction-diffusion equations.
With the help of the weighted energy method, we prove that the non-critical
travelling waves are exponentially stable when the initial perturbation
around the wave is small.
Submitted July 20, 2015. Published March 29, 2016.
Math Subject Classifications: 35C07, 92D25, 35B35.
Key Words: Stability; non-monotone; weighted energy method.
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Yixin Liu
College of Science
University of Shanghai for Science and Technology
Shanghai, 200093, China
email: 838080693@qq.com
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Zhixian Yu
College of Science
University of Shanghai for Science and Technology
Shanghai, 200093, China
email: zxyu@usst.edu.cn, zxyu0902@163.com
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Jing Xia
Department of Fundamental Courses
Academy of Armored Force Engineering
Beijing 100072, China
email: xiajingcjh@163.com
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