Uniqueness of stochastic entropy solutions for stochastic balance laws with Lipschitz fluxes

Abstract

In this paper, we consider a stochastic balance law with a Lipschitz flux and gain the uniqueness for stochastic entropy solutions. The argument is supported by the stochastic kinetic formulation, the Itô formula and the regularization techniques. Furthermore, as an application, we derive the uniqueness of stochastic entropy solutions for stochastic porous media type equations.

This paper has been withdrawn by the author due to some mistakes in proof of the main result