Entire solutions in nonlocal dispersal equations with bistable nonlinearity |
| |
Authors: | Yu-Juan Sun Wan-Tong Li Zhi-Cheng Wang |
| |
Affiliation: | a School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People?s Republic of China b Department of Mathematics, Xidian University, Xi?an, Shaanxi 710071, People?s Republic of China |
| |
Abstract: | We consider entire solutions of nonlocal dispersal equations with bistable nonlinearity in one-dimensional spatial domain. A two-dimensional manifold of entire solutions which behave as two traveling wave solutions coming from both directions is established by an increasing traveling wave front with nonzero wave speed. Furthermore, we show that such an entire solution is unique up to space-time translations and Liapunov stable. A key idea is to characterize the asymptotic behaviors of the solutions as t→−∞ in terms of appropriate subsolutions and supersolutions. We have to emphasize that a lack of regularizing effect occurs. |
| |
Keywords: | 35K57 35B40 34K30 58D25 |
本文献已被 ScienceDirect 等数据库收录! |
|