arXiv:1403.1379 [math.PR]AbstractReferencesReviewsResources
$L^p$ solutions of finite and infinite time interval BSDEs with non-Lipschitz coefficients
Published 2014-03-06Version 1
In this paper, we are interested in solving multidimensional backward stochastic differential equations (BSDEs) in $L^p\ (p>1)$ under weaker assumptions on the coefficients, considering both a finite and an infinite time interval. We establish a general existence and uniqueness result of solutions in $L^p\ (p>1)$ to finite and infinite time interval BSDEs with non-Lipschitz coefficients, which includes the corresponding results in \citet{Par90}, \citet{Mao95}, \citet{Chen97}, \citet{Cons01}, \citet{Wang03}, \citet{Chen00} and \citet{Wang09} as its particular cases.
Comments: arXiv admin note: substantial text overlap with arXiv:1402.6773
Categories: math.PR
Keywords: infinite time interval bsdes, non-lipschitz coefficients, multidimensional backward stochastic differential equations, solving multidimensional backward stochastic differential
Tags: journal article
Related articles: Most relevant | Search more
arXiv:1402.6773 [math.PR] (Published 2014-02-27)
$L^p$ solutions of BSDEs with a new kind of non-Lipschitz coefficients
On non-negative solutions of stochastic Volterra equations with jumps and non-Lipschitz coefficients
On Stochastic Evolution Equations with non-Lipschitz Coefficients