On the existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space Mp, q (R) L Chaichenets, D Hundertmark, P Kunstmann, N Pattakos
Journal of Differential Equations 263 (8), 4429-4441, 2017
24 2017 On sharp bilinear Strichartz estimates of Ozawa–Tsutsumi type J Bennett, N Bez, C Jeavons, N Pattakos
Journal of the Mathematical Society of Japan 69 (2), 459-476, 2017
20 2017 Nonlinear Schrödinger equation, differentiation by parts and modulation spaces L Chaichenets, D Hundertmark, P Kunstmann, N Pattakos
Journal of Evolution Equations 19, 803-843, 2019
15 2019 NLS in the Modulation Space N Pattakos
Journal of Fourier Analysis and Applications 25, 1447-1486, 2019
15 2019 Continuity of weighted estimates in 𝐴_ {𝑝} norm N Pattakos, A Volberg
Proceedings of the American Mathematical Society 140 (8), 2783-2790, 2012
11 2012 The Muckenhoupt class as a metric space and continuity of weighted estimates N Pattakos, A Volberg
arXiv preprint arXiv:1107.0957, 2011
10 2011 Knocking Out Teeth in One-Dimensional Periodic Nonlinear Schrödinger Equation L Chaichenets, D Hundertmark, P Kunstmann, N Pattakos
SIAM Journal on Mathematical Analysis 51 (5), 3714-3749, 2019
8 2019 Local Well-Posedness for the Nonlinear Schrödinger Equation in the Intersection of Modulation Spaces L Chaichenets, D Hundertmark, PC Kunstmann, N Pattakos
Mathematics of Wave Phenomena, 89-107, 2020
6 * 2020 Sharp Sobolev–Strichartz estimates for the free Schrödinger propagator N Bez, C Jeavons, N Pattakos
Current Trends in Analysis and Its Applications: Proceedings of the 9th …, 2015
4 2015 Continuity of weighted estimates for sublinear operators M Papadimitrakis, N Pattakos
arXiv preprint arXiv:1206.4580, 2012
4 2012 The global Cauchy problem for the NLS with higher order anisotropic dispersion L Chaichenets, N Pattakos
Glasgow Mathematical Journal 63 (1), 45-53, 2021
3 2021 On the global wellposedness of the Klein-Gordon equation for initial data in modulation spaces L Chaichenets, N Pattakos
Proceedings of the American Mathematical Society 149 (9), 3849-3861, 2021
2 2021 On the global well-posedness of the quadratic NLS on L Chaichenets, D Hundertmark, P Kunstmann, N Pattakos
Nonlinear Differential Equations and Applications NoDEA 28, 1-28, 2021
2 2021 Continuity of weighted estimates in Harmonic Analysis with respect to the weight N Pattakos
Michigan State University. Mathematics, 2012
2 2012 Matrix weights, Littlewood Paley inequalities and the Riesz transforms N Boros, N Pattakos
arXiv preprint arXiv:1303.7180, 2013
1 2013 A new weighted Bellman function N Pattakos, A Volberg
Comptes Rendus. Mathématique 349 (21-22), 1151-1154, 2011
1 2011 Higher-order NLS with anisotropic dispersion and modulation spaces: a global existence and scattering result L Chaichenets, N Pattakos
The Quarterly Journal of Mathematics 74 (3), 1015-1025, 2023
2023 Unconditional uniqueness of higher order nonlinear Schrödinger equations F Klaus, P Kunstmann, N Pattakos
Czechoslovak Mathematical Journal 71 (3), 709-742, 2021
2021 Correction to: Local Well-Posedness for the Nonlinear Schrödinger Equation in the Intersection of Modulation Spaces L Chaichenets, D Hundertmark, PC Kunstmann, N Pattakos
Mathematics of Wave Phenomena, C1-C1, 2020
2020 On the global well-posedness of the quadratic NLS on L 2 (R)+ H (T) L Chaichenets, D Hundertmark, P Kunstmann, N Pattakos
arXiv preprint arXiv:1904.04030, 2019
2019