Uniqueness of Viscosity Solutions of Stochastic Hamilton-Jacobi Equations
Optimization and Control
2019-03-28 v3
Abstract
This paper is devoted to the study of fully nonlinear stochastic Hamilton-Jacobi (HJ) equations for the optimal stochastic control problem of ordinary differential equations with random coefficients. Under the standard Lipschitz continuity assumptions on the coefficients, the value function is proved to be the unique viscosity solution of the associated stochastic HJ equation.
Keywords
Cite
@article{arxiv.1807.04882,
title = {Uniqueness of Viscosity Solutions of Stochastic Hamilton-Jacobi Equations},
author = {Jinniao Qiu and Wenning Wei},
journal= {arXiv preprint arXiv:1807.04882},
year = {2019}
}
Comments
17 pages. arXiv admin note: substantial text overlap with arXiv:1709.06143