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

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 doma...
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Autor*in:	Mirko D’Ovidio [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	non-local operators boundary value problems initial value problems irregular domains time changes

Übergeordnetes Werk:	In: Mathematics - MDPI AG, 2013, 10(2022), 21, p 4122
Übergeordnetes Werk:	volume:10 ; year:2022 ; number:21, p 4122

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DOI / URN:	10.3390/math10214122

Katalog-ID:	DOAJ028679695

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callnumber-first	Q - Science
author	Mirko D’Ovidio
spellingShingle	Mirko D’Ovidio misc QA1-939 misc non-local operators misc boundary value problems misc initial value problems misc irregular domains misc time changes misc Mathematics On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint
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topic_title	QA1-939 On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint non-local operators boundary value problems initial value problems irregular domains time changes
topic	misc QA1-939 misc non-local operators misc boundary value problems misc initial value problems misc irregular domains misc time changes misc Mathematics
topic_unstemmed	misc QA1-939 misc non-local operators misc boundary value problems misc initial value problems misc irregular domains misc time changes misc Mathematics
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title	On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint
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title_full	On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint
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title_sort	on the non-local boundary value problem from the probabilistic viewpoint
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title_auth	On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint
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).
abstractGer	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).
abstract_unstemmed	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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title_short	On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint
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