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Charro, F.; García Azorero, J.; Rossi, J.D. "A mixed problem for the infinity Laplacian via Tug-of-War games" (2009) Calculus of Variations and Partial Differential Equations. 34(3):307-320
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Abstract:

In this paper we prove that a function uC} overlineΩ is the continuous value of the Tug-of-War game described in Y. Peres et al. (J. Am. Math. Soc., 2008, to appear) if and only if it is the unique viscosity solution to the infinity Laplacian with mixed boundary conditions equation presented. By using the results in Y. Peres et al. (J. Am. Math. Soc., 2008, to appear), it follows that this viscous PDE problem has a unique solution, which is the unique absolutely minimizing Lipschitz extension to the whole Ω (in the sense of Aronsson (Ark. Mat. 6:551-561, 1967) and Y. Peres et al. (J. Am. Math. Soc., 2008, to appear)) of the Lipschitz boundary data F:ΓD R . © 2008 Springer-Verlag.

Registro:

Documento: Artículo
Título:A mixed problem for the infinity Laplacian via Tug-of-War games
Autor:Charro, F.; García Azorero, J.; Rossi, J.D.
Filiación:Departamento de Matemáticas, U. Autonoma de Madrid, Madrid 28049, Spain
Departamento de Matemática, FCEyN, Ciudad Universitaria, Pab I, (1428) Buenos Aires, Argentina
Año:2009
Volumen:34
Número:3
Página de inicio:307
Página de fin:320
DOI: http://dx.doi.org/10.1007/s00526-008-0185-2
Título revista:Calculus of Variations and Partial Differential Equations
Título revista abreviado:Calc. Var. Partial Differ. Equ.
ISSN:09442669
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09442669_v34_n3_p307_Charro

Referencias:

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Citas:

---------- APA ----------
Charro, F., García Azorero, J. & Rossi, J.D. (2009) . A mixed problem for the infinity Laplacian via Tug-of-War games. Calculus of Variations and Partial Differential Equations, 34(3), 307-320.
http://dx.doi.org/10.1007/s00526-008-0185-2
---------- CHICAGO ----------
Charro, F., García Azorero, J., Rossi, J.D. "A mixed problem for the infinity Laplacian via Tug-of-War games" . Calculus of Variations and Partial Differential Equations 34, no. 3 (2009) : 307-320.
http://dx.doi.org/10.1007/s00526-008-0185-2
---------- MLA ----------
Charro, F., García Azorero, J., Rossi, J.D. "A mixed problem for the infinity Laplacian via Tug-of-War games" . Calculus of Variations and Partial Differential Equations, vol. 34, no. 3, 2009, pp. 307-320.
http://dx.doi.org/10.1007/s00526-008-0185-2
---------- VANCOUVER ----------
Charro, F., García Azorero, J., Rossi, J.D. A mixed problem for the infinity Laplacian via Tug-of-War games. Calc. Var. Partial Differ. Equ. 2009;34(3):307-320.
http://dx.doi.org/10.1007/s00526-008-0185-2