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The quasi-sure existence of solutions for integral equations with vector fields of low regularity
Xu Si-yan 1, Zhang Hua 2
1. Faculty of Science, Ningbo University, Ningbo 315211
2. School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013
*Correspondence author
#Submitted by
Subject:
Funding: Specialized Research Fund for the Doctoral Program of Higher Education (No.2010017112041)
Opened online:10 March 2014
Accepted by: none
Citation: Xu Si-yan, Zhang Hua.The quasi-sure existence of solutions for integral equations with vector fields of low regularity[OL]. [10 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4588634
 
 
This paper consideres the existence of flows associated with vector fields under low regularity. Using the finite dimensional approximations of vector fields and a capacity version of Kolmogorov’s criterion for path continuity, and the existence of almost-sure flows of vector fields, the authors construct (1,p)-quasi-sure flows for integral equations with vector fields of low regularity.
Keywords:stochastic analysis; quasi-sure flows; integral equation
 
 
 

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