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

• Date: 2008
• Main Authors: Aryasova, O.V., Portenko, M.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4547
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A uniqueness theorem for the martingale problem describing a diffusion in media with membranes / O.V. Aryasova, M.I. Portenko // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 1–9. — Бібліогр.: 9 назв.— англ.

We formulate a martingale problem that describes a diffusion process in a multidimensional Euclidean space with a membrane located on a given mooth 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.