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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| Datum: | 2008 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2008
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| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/4547 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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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