Mathematics (Nov 2022)

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

  • Mirko D’Ovidio

DOI
https://doi.org/10.3390/math10214122
Journal volume & issue
Vol. 10, no. 21
p. 4122

Abstract

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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).

Keywords