On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint

被引：2

作者：

D'Ovidio, Mirko ^{[1
]}

机构：

[1] Sapienza Univ Rome, Dept Basic & Appl Sci Engn, Via A Scarpa 10, I-00161 Rome, Italy

来源：

MATHEMATICS | 2022年 / 10卷 / 21期

关键词：

non-local operators; boundary value problems; initial value problems; irregular domains; time changes; FRACTIONAL CAUCHY-PROBLEMS; EQUATIONS; DERIVATIVES;

D O I：

10.3390/math10214122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 lead to anomalous behavior on the bulk and on the surface of a given domain, respectively. Such a behavior should be considered (in a macroscopic viewpoint) in order to describe regular motion on irregular domains (in the microscopic viewpoint).

引用

页数：26

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