4.3 Article

Randomness and Nonlinear Evolution Equations

Journal

ACTA MATHEMATICA SINICA-ENGLISH SERIES
Volume 35, Issue 6, Pages 903-932

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10114-019-8297-5

Keywords

Probabilistic well-posedness; Gibbs measure; invariance

Funding

  1. NSF [DMS 1362509, DMS 1462401]
  2. Simons Foundation
  3. John Simon Guggenheim Foundation

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In this paper we survey some results on existence, and when possible also uniqueness, of solutions to certain evolution equations obtained by injecting randomness either on the set of initial data or as a perturbative term.

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