Qingxin Meng

  1. Optimal control problem of fully coupled forward-backward stochastic systems with Poisson jumps under partial information.

    Authors: Qingxin Meng
    Subjects: Optimization and Control
    Abstract

    In this paper, we study a class of stochastic optimal control problem with
    jumps under partial information. More precisely, the controlled systems are
    described by a fully coupled nonlinear multi- dimensional forward-backward
    stochastic differential equation driven by a Poisson random measure and an
    independent multi-dimensional Brownian motion, and all admissible control
    processes are required to be adapted to a given subfiltration of the filtration
    generated by the underlying Poisson random measure and Brownian motion.

  2. Notes on the Cauchy Problem for Backward Stochastic Partial Differential Equations.

    Authors: Kai Du, Qingxin Meng
    Subjects: Probability
    Abstract

    Backward stochastic partial differential equations of parabolic type with
    variable coefficients are considered in the whole Euclidean space. Improved
    existence and uniqueness results are given in the Sobolev space $H^n$
    ($=W^n_2$) under weaker assumptions than those used by X. Zhou [Journal of
    Functional Analysis 103, 275--293 (1992)].

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