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

collaborators

3 papers

math.FA2024

Compact bilinear operators and paraproducts revisited

Árpád Bényi, Guopeng Li, Tadahiro Oh +1

We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compa…

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…

Compact bilinear operators and paraproducts revisited

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