On the non-local boundary value problem from the probabilistic viewpoint
Analysis of PDEs
2022-10-28 v2 Probability
Statistics Theory
Statistics Theory
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 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).
Cite
@article{arxiv.2210.02327,
title = {On the non-local boundary value problem from the probabilistic viewpoint},
author = {Mirko D'Ovidio},
journal= {arXiv preprint arXiv:2210.02327},
year = {2022}
}