论文标题
与不连续性的多稳定反应扩散方程中的露台溶液收敛
Convergence to a terrace solution in multistable reaction-diffusion equations with discontinuities
论文作者
论文摘要
在本文中，我们介绍了稳定稳态周围不连续性的BISSABIS和多稳态反应扩散方程解决方案的庞大行为。我们表明，该解决方案始终会收敛到特殊解决方案，这可能是在可行情况下的行驶波，或者更通常是一个露台（即，在多个情况下都有有序速度的堆叠行驶波的集合）。
In this paper we address the large-time behavior of solutions of bistable and multistable reaction-diffusion equations with discontinuities around the stable steady states. We show that the solution always converges to a special solution, which may either be a traveling wave in the bistable case, or more generally a terrace (i.e. a collection of stacked traveling waves with ordered speeds) in the multistable case.
