STOCHASTIC ANTICIPATIVE INTEGRALS ON A RIEMANNIAN MANIFOLD

被引：15

作者：

FANG, SZ

机构：

[1] Univ Paris 06, F 75232 Paris 05, France, 4 PL Jussieu

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 131卷 / 01期

关键词：

D O I：

10.1006/jfan.1995.1088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall use the Nualart-Pardoux approach to the Skorohod integral on Rd to construct the divergence operator on the path space over a Riemannian manifold. The Cruzeiro-Malliavin structure equation on the path space is crucial for us to obtain the energy inequality. (C) 1995 Academic Press, Inc.

引用

页码：228 / 253

页数：26

共 22 条

[1]

AIRAULT H, 1993, JUL P CORN C

[2]

Bismut Jean-Michel, 1984, PROGR MATH, V45

[3]

CRUZEIRO AB, 1994, CR ACAD SCI I-MATH, V319, P859

[4] APPROXIMATING ITO INTEGRALS OF DIFFERENTIAL FORMS AND GEODESIC DEVIATION [J].