论文标题
Hardy操作员的自相似解决方案
Self-similar solution for Hardy operator
论文作者
论文摘要
我们描述了分数laplacian的热方程溶液的大渐近渐近学，具有较大的亚临界或什至临界硬性型潜力。渐近学受方程式的自相似解，该解在相应的Feynman-Kac Semigroup的核的起源处作为归一化极限。
We describe the large-time asymptotics of solutions to the heat equation for the fractional Laplacian with added subcritical or even critical Hardy-type potential. The asymptotics is governed by a self-similar solution of the equation, obtained as a normalized limit at the origin of the kernel of the corresponding Feynman-Kac semigroup.
