TUG-OF-WAR GAMES AND PARABOLIC PROBLEMS WITH SPATIAL AND TIME DEPENDENCE

被引：0
|
作者：
Del Pezzo, Leandro M. [1 ,2 ]
Rossi, Julio D. [3 ]
机构：
[1] Univ Buenos Aires, CONICET, FCEyN, Buenos Aires, DF, Argentina
[2] Univ Buenos Aires, Dept Matemat, FCEyN, Buenos Aires, DF, Argentina
[3] Univ Alicante, Dept Anal Matemat, E-03080 Alicante, Spain
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2014年 / 27卷 / 3-4期
关键词：
INFINITY-EIGENVALUE PROBLEM; LIPSCHITZ EXTENSIONS; VISCOSITY SOLUTIONS; P-LAPLACIAN; EQUATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use probabilistic arguments (Tug-of-War games) to obtain the existence of viscosity solutions to a parabolic problem of the form K-(x,K-t)(Du)u(t)(x,t) = 1/2 < D-2 uJ((x,t))(Du), J((x,t))(Du)(x,t)> in Omega(T), u(x,t) = F(x) on Gamma where Omega(T) = Omega x (0,T] and Gamma is its parabolic boundary. This problem can be viewed as a version with spatial and time dependence of the evolution problem given by the infinity Laplacian, u(t)(x,t) = < D(2)u(x,t))Du/vertical bar Du vertical bar(x,t), Du/vertical bar Du vertical bar(x,t)>.
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页码：269 / 288
页数：20
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