论文标题
反射的分数拉普拉斯
The fractional Laplacian with reflections
论文作者
论文摘要
由各向同性$α$稳定的lévy过程的概念限制在有限的开放lipschitz集合$ d \ subset \ mathbb {r}^d $中，我们研究了一些相关的分析对象。因此，我们构建了相应的过渡半群，识别其发电机，并证明了半群的收敛速度在很长一段时间内。
Motivated by the notion of isotropic $α$-stable Lévy processes confined, by reflections, to a bounded open Lipschitz set $D\subset \mathbb{R}^d$, we study some related analytical objects. Thus, we construct the corresponding transition semigroup, identify its generator and prove exponential speed of convergence of the semigroup to a unique stationary distribution for large time.
