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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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2011
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 09031caa a22007577a 4500 | ||
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| 001 | PAPER-10696 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204046.0 | ||
| 008 | 190411s2011 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-79960376317 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Rossi, J.D. | |
| 245 | 1 | 0 | |a Tug-of-war games and PDEs |
| 260 | |c 2011 | ||
| 270 | 1 | 0 | |m Rossi, J.D.; Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428), Buenos Aires, Argentina; email: jrossi@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Peres, Y., Pete, G., Somersielle, S., (2008) Biased Tug-of-War, the Biased Infinity Laplacian and Comparison with Exponential Cones, , Preprint, arXiv: 0811.0208 | ||
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| 520 | 3 | |a 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. |l eng | |
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas | ||
| 536 | |a Detalles de la financiación: The author thanks Fernando Charro, Jesus Garcia Azorero, Juan J. Manfredi and Mikko Parvianen for many useful suggestions and conversations. He also thanks Mayte Perez-Llanos for her continuous encouragement. This paper was partly supported by UBA X066 and CONICET, Argentina. | ||
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428), Buenos Aires, Argentina | ||
| 773 | 0 | |d 2011 |g v. 141 |h pp. 319-369 |k n. 2 |p Proc. R. Soc. Edinburgh Sect. A Math. |x 03082105 |t Proceedings of the Royal Society of Edinburgh Section A: Mathematics | |
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| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03082105_v141_n2_p319_Rossi |y Handle |
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