Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

  • Zhao Dong
  • Rangrang ZhangEmail author
  • Tusheng Zhang


In this paper, we establish the Freidlin-Wentzell’s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The proof is based on the weak convergence approach.


Freidlin-Wentzell’s large deviations Quailinear stochastic partial differential equations Weak convergence approach 


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The authors are grateful to the anonymous referees for comments and suggestions. This work is partly supported by National Natural Science Foundation of China (No.11371041, 11671372, 11431014, 11401557, 11801032). Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences (No. 2008DP173182). China Postdoctoral Science Foundation funded project (No. 2018M641204).


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.RCSDS, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  2. 2.School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijingChina
  3. 3.School of Mathematics and StatisticsBeijing Institute of TechnologyBeijingChina
  4. 4.School of MathematicsUniversity of ManchesterManchesterUK

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