论文标题
从概率的角度来看,关于非本地边界价值问题
On the non-local boundary value problem from the probabilistic viewpoint
论文作者
论文摘要
我们简要介绍了与非本地操作员和不规则领域有关的新事实。如果涉及非本地运算符,则考虑库奇问题和边界价值问题。这样的问题分别导致在给定结构域的大容量和表面上发生异常行为。可以考虑这种行为(在宏观的角度),以描述不规则域(在微观角度)上的常规运动。
We provide a short introduction of new and well-known facts relating non-local operators and irregular domains. Cauchy problems and boundary value problems are considered in case non-local operators are involved. Such problems respectively lead to anomalous behavior on the bulk and on the surface of a given domain. Such a behavior can be considered (in a macroscopic viewpoint) in order to describe regular motion on irregular domains (in the microscopic viewpoint).