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).
On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint / D’Ovidio, Mirko. - In: MATHEMATICS. - ISSN 2227-7390. - 10:21(2022), p. 4122. [10.3390/math10214122]
On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint
Mirko D’Ovidio
Primo
2022
Abstract
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).| File | Dimensione | Formato | |
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