论文标题
局部和扩展反应扩散方程的整个解决方案
Localized and Expanding Entire Solutions of Reaction-Diffusion Equations
论文作者
论文摘要
本文与任何空间维度N中某些反应扩散方程的非负界定溶液的时空动力学有关。假定溶液在过去位于溶液。在反应项上的某些条件下，溶液被证明是不同稳态之间的时间无关或杂斜的连接。此外，它们要么及时均匀地定位，要么会收敛到恒定的稳态并在很大程度上扩散。然后将此结果应用于某些特定的双重型反应。
This paper is concerned with the spatio-temporal dynamics of nonnegative bounded entire solutions of some reaction-diffusion equations in R N in any space dimension N. The solutions are assumed to be localized in the past. Under certain conditions on the reaction term, the solutions are then proved to be time-independent or heteroclinic connections between different steady states. Furthermore, either they are localized uniformly in time, or they converge to a constant steady state and spread at large time. This result is then applied to some specific bistable-type reactions.
