Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity |
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| Authors: | Zhi-Cheng Wang Jianhua Wu |
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| Affiliation: | a College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China
b School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China |
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| Abstract: | This paper is concerned with the existence and stability of periodic traveling curved fronts for reaction-diffusion equations with time-periodic bistable nonlinearity in two-dimensional space. By constructing supersolution and subsolution, we prove the existence of periodic traveling wave fronts. Furthermore, we show that the front is globally stable. |
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| Keywords: | 35K57 35B10 35B35 35B40 |
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