STRONG P-COMPLETENESS OF STOCHASTIC DIFFERENTIAL-EQUATIONS AND THE EXISTENCE OF SMOOTH FLOWS ON NONCOMPACT MANIFOLDS

被引：42

作者：

LI, XM

机构：

[1] Mathematics Institute, University of Warwick, Coventry

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1994年 / 100卷 / 04期

关键词：

Mathematies Subject Classification (1991): 60H10; 58G32; 60H30;

D O I：

10.1007/BF01268991

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Here we discuss the regularity of solutions of SDE's and obtain conditions under which a SDE on a complete Riemannian manifold M has a global smooth solution flow, in particular improving the usual global Lipschitz hypothesis when M = R(n). There are also results on non-explosion of diffusions.

引用

页码：485 / 511

页数：27

共 21 条

[1]

[Anonymous], 1980, CONTROLLED DIFFUSION

[2]

BAKRY D, 1986, CR ACAD SCI I-MATH, V303, P23

[3] WIENER-PROCESSES ON MANIFOLDS OF MAPS [J].

BAXENDALE, P .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1980, 87 :127-152

[4]

Blagoveshchenskii Y., 1961, SOV MATH DOKL, V2, P633

[5] FLOWS OF STOCHASTIC DYNAMICAL-SYSTEMS - THE FUNCTIONAL ANALYTIC APPROACH [J].

CARVERHILL, AP ;

ELWORTHY, KD .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 65 (02) :245-267

[6] THE RADIAL PART OF BROWNIAN-MOTION .2. ITS LIFE AND TIMES ON THE CUT LOCUS [J].

CRANSTON, M ;

KENDALL, WS ;

MARCH, P .

PROBABILITY THEORY AND RELATED FIELDS, 1993, 96 (03) :353-368

[7]

Elworthy K. D., 1990, DIFFUSION PROCESSES, P37

[8]

Elworthy K.D., 1978, STOCHASTIC ANAL, P79

[9]

Elworthy K.D., 1988, LECT NOTES MATH, V1362, P276

[10]

ELWORTHY KD, 1993, B SCI MATH, V117, P7

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