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math.AP2014
Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
We consider a randomization of a function on that is naturally associated to the Wiener decomposition and, intrinsically, to the modulation spaces. Such randomized fu…
math.AP2014★ 15 cited
On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ,
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
We consider the Cauchy problem of the cubic nonlinear Schrödinger equation (NLS) on , , with random initial data and prove almost sure well-posedness results…