IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Tug-of-War games and the infinity Laplacian with spatial dependence
Autor/es:
I. GÓMEZ; J D ROSSI
Revista:
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Editorial:
AMER INST MATHEMATICAL SCIENCES
Referencias:
Lugar: springfield; Año: 2013 vol. 12 p. 1959 - 1983
ISSN:
1534-0392
Resumen:
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 ¯nd existence of viscosity solutions to the Dirichlet problem for
an equation of the form ¡hD
2
v ¢ Jx(Dv); Jx(Dv)i(x) = 0, that is, an
in¯nity Laplacian with spatial dependence. Here Jx(Dv(x)) is a vector
that depends on the the spatial location and the gradient of the solution.
