Monotone systems involving variable-order nonlocal operators

In this paper, we study the existence and uniqueness of bounded viscosity solutions for parabolic Hamilton-Jacobi monotone systems in which the diffusion term is driven by variable-order nonlocal operators whose kernels depend on the space-time variable. We prove the existence of solutions via Perro...

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Detalles Bibliográficos
Autor: Yangari, Miguel
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:251833
Acceso en línea:https://ddd.uab.cat/record/251833
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612205
Access Level:acceso abierto
Palabra clave:Viscosity solutions
Hamilton-jacobi
Variable-order nonlocal operators
Comparison principles
Large time behavior
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spelling Monotone systems involving variable-order nonlocal operatorsYangari, MiguelViscosity solutionsHamilton-jacobiVariable-order nonlocal operatorsComparison principlesLarge time behaviorIn this paper, we study the existence and uniqueness of bounded viscosity solutions for parabolic Hamilton-Jacobi monotone systems in which the diffusion term is driven by variable-order nonlocal operators whose kernels depend on the space-time variable. We prove the existence of solutions via Perron's method, and considering Hamiltonians with linear and superlinear nonlinearities related to their gradient growth we state a comparison principle for bounded sub and supersolutions. Moreover, we present steady-state large time behavior with an exponential rate of convergence. 22022-01-0120222022-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/251833https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612205reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2518332026-06-06T12:50:31Z
dc.title.none.fl_str_mv Monotone systems involving variable-order nonlocal operators
title Monotone systems involving variable-order nonlocal operators
spellingShingle Monotone systems involving variable-order nonlocal operators
Yangari, Miguel
Viscosity solutions
Hamilton-jacobi
Variable-order nonlocal operators
Comparison principles
Large time behavior
title_short Monotone systems involving variable-order nonlocal operators
title_full Monotone systems involving variable-order nonlocal operators
title_fullStr Monotone systems involving variable-order nonlocal operators
title_full_unstemmed Monotone systems involving variable-order nonlocal operators
title_sort Monotone systems involving variable-order nonlocal operators
dc.creator.none.fl_str_mv Yangari, Miguel
author Yangari, Miguel
author_facet Yangari, Miguel
author_role author
dc.subject.none.fl_str_mv Viscosity solutions
Hamilton-jacobi
Variable-order nonlocal operators
Comparison principles
Large time behavior
topic Viscosity solutions
Hamilton-jacobi
Variable-order nonlocal operators
Comparison principles
Large time behavior
description In this paper, we study the existence and uniqueness of bounded viscosity solutions for parabolic Hamilton-Jacobi monotone systems in which the diffusion term is driven by variable-order nonlocal operators whose kernels depend on the space-time variable. We prove the existence of solutions via Perron's method, and considering Hamiltonians with linear and superlinear nonlinearities related to their gradient growth we state a comparison principle for bounded sub and supersolutions. Moreover, we present steady-state large time behavior with an exponential rate of convergence.
publishDate 2022
dc.date.none.fl_str_mv 2
2022-01-01
2022
2022-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/251833
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612205
url https://ddd.uab.cat/record/251833
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6612205
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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repository.mail.fl_str_mv
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