时间周期双稳型反应扩散方程解的长时间行为
Long-Time Behavior of Solutions to the Time-Periodic Bistable Reaction-Diffusion Equation
摘要: 本文研究以下一类时间周期反应扩散方程ut=uxxuxf(t,u), x∈R, t>0.的解的长时间渐近行为，其中，f(t,u)是满足双稳型条件且t具有周期性。将通过引入辅助函数，构造适当的上下解，再运用比较原理，可以得到方程解在无穷远处的性质。
Abstract: This paper focuses on a class of time-periodic reaction-diffusion equationsut=uxxuxf(t,u), x∈R, t>0.of solutions with long time asymptotic behaviour, wheref(t,u)satisfies the bistable condition and t is periodic. The properties of the solutions of the equation at infinity will be obtained by introducing auxiliary functions, constructing appropriate upper and lower solutions, and then applying the comparison principle.
文章引用：陈卓. 时间周期双稳型反应扩散方程解的长时间行为[J]. 理论数学, 2024, 14(5): 122-129. https://doi.org/10.12677/pm.2024.145168

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