Well-posedness of mean reflected BSDEs with non-Lipschitz coefficients

被引:1
作者
Cui, Fengfeng [1 ]
Zhao, Weidong [1 ]
机构
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
Mean reflected BSDEs; Non-Lipschitz coefficients; STOCHASTIC DIFFERENTIAL-EQUATIONS; PARTICLES SYSTEMS; QUADRATIC BSDES; CONSTRAINTS;
D O I
10.1016/j.spl.2022.109718
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
This paper aims at solving a new type of BSDE with mean reflection under weaker assumptions on the coefficients. We establish the well-posedness of mean reflected BSDEs whenever the generator is non-Lipschitz in the y argument.(c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数:8
相关论文
共 28 条
[1]   Approximation of BSDE with non Lipschitz coefficient [J].
Borkowski, D. ;
Janczak-Borkowska, K. .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2022, 40 (01) :63-77
[2]   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
[3]   BSDE with quadratic growth and unbounded terminal value [J].
Briand, Philippe ;
Hu, Ying .
PROBABILITY THEORY AND RELATED FIELDS, 2006, 136 (04) :604-618
[4]   Particles Systems for mean reflected BSDEs [J].
Briand, Philippe ;
Hibon, Helene .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 131 :253-275
[5]   Forward and backward stochastic differential equations with normal constraints in law [J].
Briand, Philippe ;
Cardaliaguet, Pierre ;
De Raynal, Paul-Eric Chaudru ;
Hu, Ying .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 130 (12) :7021-7097
[6]   PARTICLES SYSTEMS AND NUMERICAL SCHEMES FOR MEAN REFLECTED STOCHASTIC DIFFERENTIAL EQUATIONS [J].
Briand, Philippe ;
De Raynal, Paul-Eric Chaudru ;
Guillin, Arnaud ;
Labart, Celine .
ANNALS OF APPLIED PROBABILITY, 2020, 30 (04) :1884-1909
[7]   BSDES WITH MEAN REFLECTION [J].
Briand, Philippe ;
Elie, Romuald ;
Hu, Ying .
ANNALS OF APPLIED PROBABILITY, 2018, 28 (01) :482-510
[8]   Pricing of American contingent claims with jump stock price and constrained portfolios [J].
Buckdahn, R ;
Hu, Y .
MATHEMATICS OF OPERATIONS RESEARCH, 1998, 23 (01) :177-203
[9]   MEAN-FIELD STOCHASTIC DIFFERENTIAL EQUATIONS AND ASSOCIATED PDES [J].
Buckdahn, Rainer ;
Li, Juan ;
Peng, Shige ;
Rainer, Catherine .
ANNALS OF PROBABILITY, 2017, 45 (02) :824-878
[10]   MEAN-FIELD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS: A LIMIT APPROACH [J].
Buckdahn, Rainer ;
Djehiche, Boualem ;
Li, Juan ;
Peng, Shige .
ANNALS OF PROBABILITY, 2009, 37 (04) :1524-1565