Xiongxiong Bao, Wen-Hui Huang
Abstract:
This article concerns the existence and stability of traveling curved
fronts for bistable reaction-diffusion equations with delay in
two-dimensional space. Using the comparison principle and establishing
super- and sub- solutions, we prove the existence of traveling curved fronts.
We also show that such traveling curved front is unique and stable.
Submitted July 14, 2015. Published September 29, 2015.
Math Subject Classifications: 35C07, 35R10, 35K57.
Key Words: Existence; stability; traveling curved fronts; bistable;
reaction-diffusion equation; delay.
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Xiongxiong Bao School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: baoxx09@lzu.edu.cn | |
Wen-Hui Huang School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: huangwh10@lzu.edu.cn |
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