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

15 citations · 20 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2014★ 5 cited

Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on

Rowan Killip, Tadahiro Oh, Oana Pocovnicu +1

We consider the cubic-quintic nonlinear Schrödinger equation: \[ i\partial_t u = -Δu - |u|^2u + |u|^4u. \] In the first part of the paper, we analyze the one-parameter family of gr…

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

Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on , and

Oana Pocovnicu

We consider the energy-critical defocusing nonlinear wave equation (NLW) on , and . We prove almost sure global existence and uniqueness for NLW with rough r…

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…