45 citations · 207 across the 43 of their papers we have counts for
26 papers · 1 filter
BSDEs driven by G-Brownian motion under degenerate case and its application to the regularity of fully nonlinear PDEs
Mingshang Hu, Shaolin Ji, Xiaojuan Li
In this paper, we obtain the existence and uniqueness theorem for backward stochastic differential equation driven by G-Brownian motion (G-BSDE) under degenerate case. Moreover, we…
A universal robust limit theorem for nonlinear Lévy processes under sublinear expectation
Mingshang Hu, Lianzi Jiang, Gechun Liang +1
This article establishes a universal robust limit theorem under a sublinear expectation framework. Under moment and consistency conditions, we show that, for , the i.i.d…
A note on the convergence rate of Peng's law of large numbers under sublinear expectations
Mingshang Hu, Xiaojuan Li, Xinpeng Li
This short note provides a new and simple proof of the convergence rate for Peng's law of large numbers under sublinear expectations, which improves the corresponding results in So…
On the rate of convergence for an -stable central limit theorem under sublinear expectation
Mingshang Hu, Lianzi Jiang, Gechun Liang
In this paper, we propose a monotone approximation scheme for a class of fully nonlinear degenerate partial integro-differential equations (PIDEs) which characterize the nonlinear…
Maximum principle for stochastic recursive optimal control problem under model uncertainty
Mingshang Hu, Falei Wang
In this paper, we consider a stochastic recursive optimal control problem under model uncertainty. In this framework, the cost function is described by solutions of a family of bac…
Explicit positive solutions to -heat equations and the application to -capacities
Mingshang Hu, Yifan Sun
In this paper, we study a class of explicit positive solutions to -heat equations by solving second order nonlinear ordinary differential equations. Based on the positive soluti…