Stochastic differential equations driven by spatial parameters semimartingale with non-Lipschitz local characteristic | |
Liang, Zongxia | |
2010-05-06 ; 2010-05-06 | |
关键词 | non-Lipschitzian non-contact property non-explosion pathwise uniqueness local characteristic BROWNIAN MOTIONS PATHWISE UNIQUENESS COEFFICIENTS MARTINGALES PLANE EXISTENCE RESPECT CIRCLE FLOWS SDES Mathematics |
中文摘要 | We study m-dimensional SDE X(s, t)= x+ integral(t)(s) F( X( s, r), dr), where F( x, t)= (F-1(x, t),..., F-m(x, t)), x is an element of R-m, is a continuous C(R-m; R-m)-valued ( spatial) semi-martingale with local characteristic ( a, b)(cf. Kunita, Stochastic Flows and Stochastic Differential Equations, Cambridge University Press, UK, 1990). We establish non-explosion, existence and pathwise uniqueness theorems and non-contact property of strong solutions to the SDE for which the local characteristic ( a, b) satisfies non-Lipschitz conditions. |
语种 | 英语 ; 英语 |
出版者 | SPRINGER ; DORDRECHT ; VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/13900] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Liang, Zongxia. Stochastic differential equations driven by spatial parameters semimartingale with non-Lipschitz local characteristic[J],2010, 2010. |
APA | Liang, Zongxia.(2010).Stochastic differential equations driven by spatial parameters semimartingale with non-Lipschitz local characteristic.. |
MLA | Liang, Zongxia."Stochastic differential equations driven by spatial parameters semimartingale with non-Lipschitz local characteristic".(2010). |
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