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Randomness and Nonlinear Evolution Equations
Authors:Nahmod  Andrea R  Staffilani  Gigliola
Institution:1. Department of Mathematics, University of Massachusetts Amherst, 710 N. Pleasant Street, Amherst MA, 01003, USA; 2. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
Abstract: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.
Keywords:Probabilistic well-posedness  Gibbs measure  invariance  
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