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Journal of Theoretical Probability

, Volume 23, Issue 4, pp 1142–1156 | Cite as

Large Deviations for Multivalued Stochastic Differential Equations

  • Jiagang Ren
  • Siyan XuEmail author
  • Xicheng Zhang
Article

Abstract

We prove a large deviation principle of Freidlin–Wentzell type for multivalued stochastic differential equations with monotone drifts that in particular contain a class of SDEs with reflection in a convex domain.

Keywords

Multivalued stochastic differential equation Maximal monotone operator Large deviation principle 

Mathematics Subject Classification (2000)

60H10 60F10 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.School of Mathematics and Computational ScienceSun Yat-Sen UniversityGuangzhouP.R. China
  2. 2.Department of MathematicsHuazhong University of Science and TechnologyWuhanP.R. China

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