Tug-of-war games and PDEs
We review some recent results concerning tug-of-war games and their relation to some well-known partial differential equations (PDEs). In particular, we will show that solutions to certain PDEs can be obtained as limits of values of tug-of-war games when the parameter that controls the length of the...
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todo:paper_03082105_v141_n2_p319_Rossi2023-10-03T15:22:47Z Tug-of-war games and PDEs Rossi, J.D. We review some recent results concerning tug-of-war games and their relation to some well-known partial differential equations (PDEs). In particular, we will show that solutions to certain PDEs can be obtained as limits of values of tug-of-war games when the parameter that controls the length of the possible movements goes to zero. Since the equations being studied are nonlinear and are not in divergence form, we will make extensive use of the concept of viscosity solutions. © 2011 Royal Society of Edinburgh. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03082105_v141_n2_p319_Rossi |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We review some recent results concerning tug-of-war games and their relation to some well-known partial differential equations (PDEs). In particular, we will show that solutions to certain PDEs can be obtained as limits of values of tug-of-war games when the parameter that controls the length of the possible movements goes to zero. Since the equations being studied are nonlinear and are not in divergence form, we will make extensive use of the concept of viscosity solutions. © 2011 Royal Society of Edinburgh. |
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JOUR |
author |
Rossi, J.D. |
spellingShingle |
Rossi, J.D. Tug-of-war games and PDEs |
author_facet |
Rossi, J.D. |
author_sort |
Rossi, J.D. |
title |
Tug-of-war games and PDEs |
title_short |
Tug-of-war games and PDEs |
title_full |
Tug-of-war games and PDEs |
title_fullStr |
Tug-of-war games and PDEs |
title_full_unstemmed |
Tug-of-war games and PDEs |
title_sort |
tug-of-war games and pdes |
url |
http://hdl.handle.net/20.500.12110/paper_03082105_v141_n2_p319_Rossi |
work_keys_str_mv |
AT rossijd tugofwargamesandpdes |
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1807322883285843968 |