Tug-of-war games and the infinity laplacian with spatial dependence

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 find existence of cviscosity solutions to the Dirichlet problem for an equation of the form...

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Detalles Bibliográficos
Autor principal: Rossi, Julio Daniel
Publicado: 2013
Materias:
Infinity Laplacian
Tug-of-war games
Viscosity solutions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v12_n5_p1959_Gomez
http://hdl.handle.net/20.500.12110/paper_15340392_v12_n5_p1959_Gomez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15340392_v12_n5_p1959_Gomez
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spelling paper:paper_15340392_v12_n5_p1959_Gomez2023-06-08T16:19:59Z Tug-of-war games and the infinity laplacian with spatial dependence Rossi, Julio Daniel Infinity Laplacian Tug-of-war games Viscosity solutions 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 find existence of cviscosity solutions to the Dirichlet problem for an equation of the form -(D2v · Jx(Dv); Jx(Dv))(x) = 0, that is, an infinity Laplacian with spatial dependence. Here Jx(Dv(x)) is a vector that depends on the spatial location and the gradient of the solution. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v12_n5_p1959_Gomez http://hdl.handle.net/20.500.12110/paper_15340392_v12_n5_p1959_Gomez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Infinity Laplacian
Tug-of-war games
Viscosity solutions
spellingShingle Infinity Laplacian
Tug-of-war games
Viscosity solutions
Rossi, Julio Daniel
Tug-of-war games and the infinity laplacian with spatial dependence
topic_facet Infinity Laplacian
Tug-of-war games
Viscosity solutions
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 find existence of cviscosity solutions to the Dirichlet problem for an equation of the form -(D2v · Jx(Dv); Jx(Dv))(x) = 0, that is, an infinity Laplacian with spatial dependence. Here Jx(Dv(x)) is a vector that depends on the spatial location and the gradient of the solution.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title Tug-of-war games and the infinity laplacian with spatial dependence
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
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v12_n5_p1959_Gomez
http://hdl.handle.net/20.500.12110/paper_15340392_v12_n5_p1959_Gomez
work_keys_str_mv AT rossijuliodaniel tugofwargamesandtheinfinitylaplacianwithspatialdependence
_version_ 1768545244654075904

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