On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥ 3 Á Bényi, T Oh, O Pocovnicu Transactions of the American Mathematical Society, Series B 2 (1), 1-50, 2015 | 148 | 2015 |
Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on R Killip, T Oh, O Pocovnicu, M Vişan Archive for Rational Mechanics and Analysis 225, 469-548, 2017 | 110 | 2017 |
Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS Á Bényi, T Oh, O Pocovnicu Excursions in Harmonic Analysis, Volume 4: The February Fourier Talks at the …, 2015 | 98 | 2015 |
Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on R3 T Oh, O Pocovnicu Journal de Mathématiques Pures et Appliquées 105 (3), 342-366, 2016 | 96 | 2016 |
Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on , and O Pocovnicu Journal of the European Mathematical Society 19 (8), 2521-2575, 2017 | 81 | 2017 |
Explicit formula for the solution of the Szeg\" o equation on the real line and applications O Pocovnicu Discrete Contin. Dyn. Syst. A 31 (2011) no. 3, 607-649., 2011 | 74 | 2011 |
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line P Gérard, E Lenzmann, O Pocovnicu, P Raphaël Annals of PDE 4, 1-166, 2018 | 65 | 2018 |
Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on R3 Á Bényi, T Oh, O Pocovnicu Trans. Amer. Math. Soc. Ser. B 6 (2019), 114--160., 2019 | 59* | 2019 |
On the probabilistic well-posedness of the nonlinear Schr\"{o} dinger equations with non-algebraic nonlinearities T Oh, M Okamoto, O Pocovnicu Discrete Contin. Dyn. Syst. A. 39 (2019), no. 6, 3479--3520., 2019 | 56 | 2019 |
Traveling waves for the cubic Szegő equation on the real line O Pocovnicu Analysis & PDE 4 (3), 379-404, 2011 | 52 | 2011 |
On the probabilistic Cauchy theory for nonlinear dispersive PDEs Á Bényi, T Oh, O Pocovnicu Landscapes of Time-Frequency Analysis, 1-32, 2019 | 50 | 2019 |
Ill-posedness of the cubic nonlinear half-wave equation and other fractional NLS on the real line A Choffrut, O Pocovnicu International Mathematics Research Notices 2018 (3), 699-738, 2018 | 43 | 2018 |
Global well-posedness of the Gross--Pitaevskii and cubic-quintic nonlinear Schr\" odinger equations with non-vanishing boundary conditions R Killip, T Oh, O Pocovnicu, M Visan Math. Res. Lett. 19 (2012), no. 5, 969-986., 2012 | 39 | 2012 |
First and second order approximations for a nonlinear wave equation O Pocovnicu Journal of Dynamics and Differential Equations 25 (2), 305-333, 2013 | 37 | 2013 |
Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces T Oh, O Pocovnicu, N Tzvetkov Annales de l'Institut Fourier 72 (2), 771-830, 2022 | 26 | 2022 |
On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise T Oh, O Pocovnicu, Y Wang | 22 | 2020 |
A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting T Oh, O Pocovnicu Tohoku Mathematical Journal, Second Series 69 (3), 455-481, 2017 | 22 | 2017 |
Soliton interaction with small Toeplitz potentials for the Szego equation on the real line O Pocovnicu Dyn. Partial Differ. Equ. 9 (2012), no. 1, 1-27., 2012 | 15 | 2012 |
Probabilistic local well-posedness of the cubic nonlinear wave equation in negative Sobolev spaces T Oh, O Pocovnicu, N Tzvetkov arXiv preprint arXiv:1904.06792, 2019 | 12 | 2019 |
An Lp-theory for almost sure local well-posedness of the nonlinear Schrödinger equations O Pocovnicu, Y Wang Comptes Rendus. Mathématique 356 (6), 637-643, 2018 | 11 | 2018 |