Tug-of-War games and the infinity Laplacian with spatial dependence

Autores
Gomez, Ivana Daniela; Rossi, Julio Daniel
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we look for PDEs that arise as limits of values of Tug-of-War games when the possible movements of the game are taken in a family of sets that are not necessarily euclidean balls. In this way we ¯nd existence of viscosity solutions to the Dirichlet problem for an equation of the form ¡hD 2 v ¢ Jx(Dv); Jx(Dv)i(x) = 0, that is, an in¯nity Laplacian with spatial dependence. Here Jx(Dv(x)) is a vector that depends on the the spatial location and the gradient of the solution.
Fil: Gomez, Ivana Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Santa Fe. Instituto de Matemática Aplicada; Argentina;
Fil: Rossi, Julio Daniel. Universidad de Buenos Aires; Argentina;
Materia
elliptic problems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/1067
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/1067
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network_name_str CONICET Digital (CONICET)
spelling Tug-of-War games and the infinity Laplacian with spatial dependenceGomez, Ivana DanielaRossi, Julio Danielelliptic problemshttps://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.1In this paper we look for PDEs that arise as limits of values of Tug-of-War games when the possible movements of the game are taken in a family of sets that are not necessarily euclidean balls. In this way we ¯nd existence of viscosity solutions to the Dirichlet problem for an equation of the form ¡hD 2 v ¢ Jx(Dv); Jx(Dv)i(x) = 0, that is, an in¯nity Laplacian with spatial dependence. Here Jx(Dv(x)) is a vector that depends on the the spatial location and the gradient of the solution.Fil: Gomez, Ivana Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Santa Fe. Instituto de Matemática Aplicada; Argentina;Fil: Rossi, Julio Daniel. Universidad de Buenos Aires; Argentina;Amer Inst Mathematical Sciences2013-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/1067Gomez, Ivana Daniela; Rossi, Julio Daniel; Tug-of-War games and the infinity Laplacian with spatial dependence; Amer Inst Mathematical Sciences; Communications On Pure And Applied Analysis; 12; 5-2013; 1959-19831534-0392enginfo:eu-repo/semantics/reference es info:eu-repo/semantics/reference/url/http://arxiv.org/pdf/1208.6245.pdfinfo:eu-repo/semantics/altIdentifier/doi/10.3934/cpaa.2013.12.1959info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=8194info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:15:14Zoai:ri.conicet.gov.ar:11336/1067instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:15:15.239CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Tug-of-War games and the infinity Laplacian with spatial dependence
title Tug-of-War games and the infinity Laplacian with spatial dependence
spellingShingle Tug-of-War games and the infinity Laplacian with spatial dependence
Gomez, Ivana Daniela
elliptic problems
title_short Tug-of-War games and the infinity Laplacian with spatial dependence
title_full Tug-of-War games and the infinity Laplacian with spatial dependence
title_fullStr Tug-of-War games and the infinity Laplacian with spatial dependence
title_full_unstemmed Tug-of-War games and the infinity Laplacian with spatial dependence
title_sort Tug-of-War games and the infinity Laplacian with spatial dependence
dc.creator.none.fl_str_mv Gomez, Ivana Daniela
Rossi, Julio Daniel
author Gomez, Ivana Daniela
author_facet Gomez, Ivana Daniela
Rossi, Julio Daniel
author_role author
author2 Rossi, Julio Daniel
author2_role author
dc.subject.none.fl_str_mv elliptic problems
topic elliptic problems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/1.1
dc.description.none.fl_txt_mv In this paper we look for PDEs that arise as limits of values of Tug-of-War games when the possible movements of the game are taken in a family of sets that are not necessarily euclidean balls. In this way we ¯nd existence of viscosity solutions to the Dirichlet problem for an equation of the form ¡hD 2 v ¢ Jx(Dv); Jx(Dv)i(x) = 0, that is, an in¯nity Laplacian with spatial dependence. Here Jx(Dv(x)) is a vector that depends on the the spatial location and the gradient of the solution.
Fil: Gomez, Ivana Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Santa Fe. Instituto de Matemática Aplicada; Argentina;
Fil: Rossi, Julio Daniel. Universidad de Buenos Aires; Argentina;
description In this paper we look for PDEs that arise as limits of values of Tug-of-War games when the possible movements of the game are taken in a family of sets that are not necessarily euclidean balls. In this way we ¯nd existence of viscosity solutions to the Dirichlet problem for an equation of the form ¡hD 2 v ¢ Jx(Dv); Jx(Dv)i(x) = 0, that is, an in¯nity Laplacian with spatial dependence. Here Jx(Dv(x)) is a vector that depends on the the spatial location and the gradient of the solution.
publishDate 2013
dc.date.none.fl_str_mv 2013-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/1067
Gomez, Ivana Daniela; Rossi, Julio Daniel; Tug-of-War games and the infinity Laplacian with spatial dependence; Amer Inst Mathematical Sciences; Communications On Pure And Applied Analysis; 12; 5-2013; 1959-1983
1534-0392
url http://hdl.handle.net/11336/1067
identifier_str_mv Gomez, Ivana Daniela; Rossi, Julio Daniel; Tug-of-War games and the infinity Laplacian with spatial dependence; Amer Inst Mathematical Sciences; Communications On Pure And Applied Analysis; 12; 5-2013; 1959-1983
1534-0392
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/reference es info:eu-repo/semantics/reference/url/http://arxiv.org/pdf/1208.6245.pdf
info:eu-repo/semantics/altIdentifier/doi/10.3934/cpaa.2013.12.1959
info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=8194
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Amer Inst Mathematical Sciences
publisher.none.fl_str_mv Amer Inst Mathematical Sciences
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842980820323663872
score 12.993085

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