paper

A uniqueness theorem for the martingale problem describing a diffusion in media with membranes

arXiv:0904.4223

Abstract

We formulate a martingale problem that describes a diffusion process in a multidimensional Euclidean space with a membrane located on a given smooth surface and having the properties of skewing and delaying. The theorem on the existence of no more than one solution to the problem is proved.

A uniqueness theorem for the martingale problem describing a diffusion in media with membranes · wovepaper