On the Continuity of Stochastic Exit Time Control Problems

被引:20
作者
Bayraktar, Erhan [2 ]
Song, Qingshuo [1 ]
Yang, Jie [3 ]
机构
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
[3] Univ Lllinois Chicago, Dept Math Stat & Comp Sci, Chicago, IL USA
基金
美国国家科学基金会;
关键词
Continuity of the value function; Degenerate diffusions; Exit time control; The Cauchy problem on bounded domains; Viscosity solutions; DIRICHLET PROBLEM; INTEGRALS;
D O I
10.1080/07362994.2011.532020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We determine a weaker sufficient condition than that of Theorem 5.2.1 in Fleming and Soner (2006) for the continuity of the value functions of stochastic exit time control problems.
引用
收藏
页码:48 / 60
页数:13
相关论文
共 14 条
[1]   On the Dirichlet problem for second-order elliptic integro-differential equations [J].
Barles, G. ;
Chasseigne, E. ;
Imbert, C. .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (01) :213-246
[2]   THE DIRICHLET PROBLEM FOR SEMILINEAR 2ND-ORDER DEGENERATE ELLIPTIC-EQUATIONS AND APPLICATIONS TO STOCHASTIC EXIT TIME CONTROL-PROBLEMS [J].
BARLES, G ;
BURDEAU, J .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (1-2) :129-178
[3]  
DURRETT R, WADSWORTH BROOKS COL
[4]  
Fleming W., 2006, STOCHASTIC MODELLING, V25
[5]  
Gilbarg D., 1983, Elliptic Partial Equations of Second Order, V2nd
[6]   VISCOSITY SOLUTIONS OF FULLY NONLINEAR 2ND-ORDER ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS [J].
ISHII, H ;
LIONS, PL .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1990, 83 (01) :26-78
[7]  
Karatzas I., 1991, Brownian Motion and Stochastic Calculus , Vol. 113 Graduate Texts in Mathematics
[8]   VALUE FUNCTIONS AND THE DIRICHLET PROBLEM FOR ISAACS EQUATION IN A SMOOTH DOMAIN [J].
Kovats, Jay .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (08) :4045-4076
[9]  
Krantz S. G., 2002, IMPLICIT FUNCTION TH
[10]  
Krylov N. V., 1980, Appl. Math., V14