Linear stochastic differential equations in the dual of a multi-Hilbertian space
We prove the existence and uniqueness of strong solutions for linear stochastic differential equations in the space dual to a multi–Hilbertian space driven by a finite dimensional Brownian motion under relaxed assumptions on the coefficients. As an application, we consider equtions in S' with c...
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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/123456789/4549 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Linear stochastic differential equations in the dual of a multi-Hilbertian space / L. Gawarecki, V. Mandrekar, B. Rajeev // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 28–34. — Бібліогр.: 9 назв.— англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We prove the existence and uniqueness of strong solutions for linear stochastic differential equations in the space dual to a multi–Hilbertian space driven by a finite dimensional Brownian motion under relaxed assumptions on the coefficients. As an application, we consider equtions in S' with coefficients which are differential operators violating the typical growth and monotonicity conditions. |
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