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).
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页数：26
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