An obstacle problem for tug-of-war games

We consider the obstacle problem for the infinity Laplace equation. Given a Lipschitz boundary function and a Lipschitz obstacle we prove the existence and uniqueness of a super infinity-harmonic function constrained to lie above the obstacle which is infinity harmonic where it lies strictly above t...

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Autor principal: Rossi, Julio Daniel
Publicado: 2015
Materias:
Infinity laplacian
Obstacle problem
Tug-of-war games
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v14_n1_p217_Manfredi
http://hdl.handle.net/20.500.12110/paper_15340392_v14_n1_p217_Manfredi
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15340392_v14_n1_p217_Manfredi
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spelling paper:paper_15340392_v14_n1_p217_Manfredi2023-06-08T16:19:59Z An obstacle problem for tug-of-war games Rossi, Julio Daniel Infinity laplacian Obstacle problem Tug-of-war games We consider the obstacle problem for the infinity Laplace equation. Given a Lipschitz boundary function and a Lipschitz obstacle we prove the existence and uniqueness of a super infinity-harmonic function constrained to lie above the obstacle which is infinity harmonic where it lies strictly above the obstacle. Moreover, we show that this function is the limit of value functions of a game we call obstacle tug-of-war. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v14_n1_p217_Manfredi http://hdl.handle.net/20.500.12110/paper_15340392_v14_n1_p217_Manfredi
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
Obstacle problem
Tug-of-war games
spellingShingle Infinity laplacian
Obstacle problem
Tug-of-war games
Rossi, Julio Daniel
An obstacle problem for tug-of-war games
topic_facet Infinity laplacian
Obstacle problem
Tug-of-war games
description We consider the obstacle problem for the infinity Laplace equation. Given a Lipschitz boundary function and a Lipschitz obstacle we prove the existence and uniqueness of a super infinity-harmonic function constrained to lie above the obstacle which is infinity harmonic where it lies strictly above the obstacle. Moreover, we show that this function is the limit of value functions of a game we call obstacle tug-of-war.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title An obstacle problem for tug-of-war games
title_short An obstacle problem for tug-of-war games
title_full An obstacle problem for tug-of-war games
title_fullStr An obstacle problem for tug-of-war games
title_full_unstemmed An obstacle problem for tug-of-war games
title_sort obstacle problem for tug-of-war games
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v14_n1_p217_Manfredi
http://hdl.handle.net/20.500.12110/paper_15340392_v14_n1_p217_Manfredi
work_keys_str_mv AT rossijuliodaniel anobstacleproblemfortugofwargames
AT rossijuliodaniel obstacleproblemfortugofwargames
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