Multidimensional quadratic BSDEs with separated generators

被引:11
作者
Jamneshan, Asgar [1 ]
Kupper, Michael [1 ]
Luo, Peng [2 ]
机构
[1] Univ Konstanz, Dept Math & Stat, Constance, Germany
[2] Swiss Fed Inst Technol, Dept Math, Zurich, Switzerland
来源
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2017年 / 22卷
关键词
multidimensional quadratic BSDEs; BMO martingales; STOCHASTIC DIFFERENTIAL-EQUATIONS; UNBOUNDED TERMINAL CONDITION; SUPERQUADRATIC BSDES; GROWTH; GAME; SUM;
D O I
10.1214/17-ECP87
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider multidimensional quadratic BSDEs with bounded and unbounded terminal conditions. We provide sufficient conditions which guarantee existence and uniqueness of solutions. In particular, these conditions are satisfied if the terminal condition or the dependence in the system are small enough.
引用
收藏
页数:10
相关论文
共 23 条
[1]  
Bahlali K., 2010, APPL DEGENERATE SYST, V348, P677
[2]   CONJUGATE CONVEX FUNCTIONS IN OPTIMAL STOCHASTIC CONTROL [J].
BISMUT, JM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 44 (02) :384-404
[3]   Quadratic BSDEs with convex generators and unbounded terminal conditions [J].
Briand, Philippe ;
Hu, Ying .
PROBABILITY THEORY AND RELATED FIELDS, 2008, 141 (3-4) :543-567
[4]   BSDE with quadratic growth and unbounded terminal value [J].
Briand, Philippe ;
Hu, Ying .
PROBABILITY THEORY AND RELATED FIELDS, 2006, 136 (04) :604-618
[5]   Multidimensional quadratic and subquadratic BSDEs with special structure [J].
Cheridito, Patrick ;
Nam, Kihun .
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2015, 87 (05) :871-884
[6]   BSDEs with terminal conditions that have bounded Malliavin derivative [J].
Cheridito, Patrick ;
Nam, Kihun .
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (03) :1257-1285
[7]   New Proofs of Some Results on Bounded Mean Oscillation Martingales Using Backward Stochastic Differential Equations [J].
Chikvinidze, B. ;
Mania, M. .
JOURNAL OF THEORETICAL PROBABILITY, 2014, 27 (04) :1213-1228
[8]   Backward SDEs with superquadratic growth [J].
Delbaen, Freddy ;
Hu, Ying ;
Bao, Xiaobo .
PROBABILITY THEORY AND RELATED FIELDS, 2011, 150 (1-2) :145-192
[9]   BSDEs and risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations [J].
El-Karoui, N ;
Hamadène, S .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2003, 107 (01) :145-169
[10]   Splitting multidimensional BSDEs and finding local equilibria [J].
Frei, Christoph .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2014, 124 (08) :2654-2671