Potential Analysis

, Volume 51, Issue 3, pp 333–360 | Cite as

Support Theorem for Stochastic Differential Equations with Sobolev Coefficients

  • Jie Ren
  • Jie XuEmail author


In this paper we prove a support theorem for stochastic differential equations with Sobolev coefficients in the framework of DiPerna-Lions theory.


Support theorem Stochastic differential equation DiPerna-Lions theory 

Mathematics Subject Classification (2010)

60H10 60F15 


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The first author is very grateful to Professor Xicheng Zhang for his encouragement and useful discussions. The authors would also like to thank the anonymous referees and the editor for their careful reading of manuscript, correcting errors and making very helping suggestions, which improve the quality of this paper. This work was supported by China NSF Grant No.U1504620, 11471104, and Youth Science Foundation of Henan Normal University Grant No.2014QK02.


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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.College of Mathematics and Information ScienceHenan University Of Economics and LawZhengzhouPeople’s Republic of China
  2. 2.College of Mathematics and Information Science, and Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal ControlHenan Normal UniversityXinxiangPeople’s Republic of China

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