Árpád Bényi

most citedOn the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on

R^{d}

d \geq 3

15 citations · 15 across the 3 of their papers we have counts for

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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 $R^{d}$ 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 $R^{d}$ , $d \geq 3$

Árpád Bényi, Tadahiro Oh, Oana Pocovnicu

We consider the Cauchy problem of the cubic nonlinear Schrödinger equation (NLS) on $R^{d}$ , $d \geq 3$ , with random initial data and prove almost sure well-posedness results…

Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS

On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on Rd, d≥3

On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $R^{d}$ , $d \geq 3$