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

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.

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Bibliographic Details
Date:2008
Main Authors: Aryasova, O.V., Portenko, M.I.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/4547
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine