Árpád Bényi

activity

20132024

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

R^{d}

d \geq 3

15 citations · 36 across the 6 of their papers we have counts for

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2017★ 8 cited

Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on $R^{3}$

Árpád Bényi, Tadahiro Oh, Oana Pocovnicu

We consider the cubic nonlinear Schrödinger equation (NLS) on $R^{3}$ with randomized initial data. In particular, we study an iterative approach based on a partial power se…

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…

Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on R3

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

Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on $R^{3}$

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