On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs

  • Árpád BényiEmail author
  • Tadahiro Oh
  • Oana Pocovnicu
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.



Á. B. is partially supported by a grant from the Simons Foundation (No. 246024). T. O. was supported by the European Research Council (grant no. 637995 “ProbDynDispEq”). The authors would like to thank Justin Forlano for careful proofreading.


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Authors and Affiliations

  1. 1.Department of MathematicsWestern Washington UniversityBellinghamUSA
  2. 2.School of Mathematics, The University of Edinburgh, and The Maxwell Institute for the Mathematical Sciences, James Clerk Maxwell Building, The King’s BuildingsEdinburghUK
  3. 3.Department of Mathematics, Heriot-Watt University and The Maxwell Institute for the Mathematical SciencesEdinburghUK

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