Publications Peer reviewed articles (22) An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation Author(s): Tadahiro Oh, Philippe Sosoe, Nikolay Tzvetkov Published in: Journal de l’École polytechnique — Mathématiques, Issue 5, 2018, Page(s) 793-841, ISSN 2270-518X Publisher: École polytechnique DOI: 10.5802/jep.83 On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities Author(s): Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu Published in: Discrete & Continuous Dynamical Systems - A, Issue 39/6, 2019, Page(s) 3479-3520, ISSN 1553-5231 Publisher: American Institute of Mathematical Sciences DOI: 10.3934/dcds.2019144 Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on $\mathbb {R}^3$ Author(s): Árpád Bényi, Tadahiro Oh, Oana Pocovnicu Published in: Transactions of the American Mathematical Society, Series B, Issue 6/4, 2019, Page(s) 114-160, ISSN 2330-0000 Publisher: American Mathematical Society DOI: 10.1090/btran/29 Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation Author(s): Tadahiro Oh, Nikolay Tzvetkov Published in: Journal of the European Mathematical Society, Issue 22/6, 2020, Page(s) 1785-1826, ISSN 1435-9855 Publisher: European Mathematical Society Publishing House DOI: 10.4171/jems/956 Renormalization of the two-dimensional stochastic nonlinear wave equations Author(s): Massimiliano Gubinelli, Herbert Koch, Tadahiro Oh Published in: Transactions of the American Mathematical Society, Issue 370/10, 2017, Page(s) 1, ISSN 0002-9947 Publisher: American Mathematical Society DOI: 10.1090/tran/7452 GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES Author(s): TADAHIRO OH, YUZHAO WANG Published in: Forum of Mathematics, Sigma, Issue 6, 2018, Page(s) 1-80, ISSN 2050-5094 Publisher: Cambridge University Press DOI: 10.1017/fms.2018.4 Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion Author(s): Tadahiro Oh, Yoshio Tsutsumi, Nikolay Tzvetkov Published in: Comptes Rendus Mathematique, Issue 357/4, 2019, Page(s) 366-381, ISSN 1631-073X Publisher: Elsevier Masson DOI: 10.1016/j.crma.2019.04.001 A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting Author(s): Tadahiro Oh, Oana Pocovnicu Published in: Tohoku Mathematical Journal, Issue 69/3, 2017, Page(s) 455-481, ISSN 0040-8735 Publisher: Tohoku University DOI: 10.2748/tmj/1505181626 Non-Existence of Solutions for the Periodic Cubic NLS below ${L}^{{2}}$ Author(s): Zihua Guo, Tadahiro Oh Published in: International Mathematics Research Notices, Issue 2018, no. 6, 2018, Page(s) rnw271, ISSN 1073-7928 Publisher: Oxford University Press DOI: 10.1093/imrn/rnw271 On invariant Gibbs measures for the generalized KdV equations Author(s): Tadahiro Oh, Geordie Richards, Laurent Thomann Published in: Dynamics of Partial Differential Equations, Issue 13/2, 2016, Page(s) 133-153, ISSN 1548-159X Publisher: International Press DOI: 10.4310/DPDE.2016.v13.n2.a3 "Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on <mml:math altimg=""si1.gif"" overflow=""scroll"" xmlns:xocs=""http://www.elsevier.com/xml/xocs/dtd"" xmlns:xs=""http://www.w3.org/2001/XMLSchema"" xmlns:xsi=""http://www.w3.org/2001/XMLSchema-instance"" xmlns=""http://www.elsevier.com/xml/ja/dtd"" xmlns:ja=""http://www.elsevier.com/xml/ja/dtd"" xmlns:mml=""ht" Author(s): Tadahiro Oh, Oana Pocovnicu Published in: Journal de Mathématiques Pures et Appliquées, Issue 105/3, 2016, Page(s) 342-366, ISSN 0021-7824 Publisher: Elsevier BV DOI: 10.1016/j.matpur.2015.11.003 A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces Author(s): Tadahiro Oh Published in: Funkcialaj Ekvacioj, Issue 60/2, 2017, Page(s) 259-277, ISSN 0532-8721 Publisher: Mathematical Society of Japan DOI: 10.1619/fesi.60.259 On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $\mathbb {R}^d$, $d \geq 3$ Author(s): Árpád Bényi, Tadahiro Oh, Oana Pocovnicu Published in: Transactions of the American Mathematical Society, Series B, Issue 2/1, 2015, Page(s) 1-50, ISSN 2330-0000 Publisher: American Mathematical Society DOI: 10.1090/btran/6 On the ill-posedness of the cubic nonlinear Schrödinger equation on the circle Author(s): Tadahiro Oh, Yuzhao Wang Published in: "Analele Ştiinţifice ale Universităţii ""Alexandru Ioan Cuza'' din Iaşi - Matematică (Annals of the Alexandru Ioan Cuza University - Mathematics)", Issue 64/1, 2018, Page(s) 53-84, ISSN 1221-8421 Publisher: Editura Universitatea Alexendru Ion Cuza Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle Author(s): Jaywan Chung, Zihua Guo, Soonsik Kwon, Tadahiro Oh Published in: Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Issue 34, 2016, Page(s) 1273–1297, ISSN 0294-1449 Publisher: Elsevier BV DOI: 10.1016/j.anihpc.2016.10.003 A pedestrian approach to the invariant Gibbs measures for the 2-d defocusing nonlinear Schrödinger equations Author(s): Tadahiro Oh, Laurent Thomann Published in: Stochastics and Partial Differential Equations: Analysis and Computations, Issue 6, 2018, Page(s) 1-49, ISSN 2194-0401 Publisher: Springer Verlag DOI: 10.1007/s40072-018-0112-2 Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on $${\mathbb{R}^3}$$ R 3 Author(s): Rowan Killip, Tadahiro Oh, Oana Pocovnicu, Monica Vişan Published in: Archive for Rational Mechanics and Analysis, Issue 225/1, 2017, Page(s) 469-548, ISSN 0003-9527 Publisher: Springer Verlag DOI: 10.1007/s00205-017-1109-0 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation Author(s): Tadahiro Oh, Nikolay Tzvetkov Published in: Probability Theory and Related Fields, Issue 169/3-4, 2017, Page(s) 1121-1168, ISSN 0178-8051 Publisher: Springer Verlag DOI: 10.1007/s00440-016-0748-7 Modulation spaces with scaling symmetry Author(s): Árpád Bényi, Tadahiro Oh Published in: Applied and Computational Harmonic Analysis, Issue 48/1, 2020, Page(s) 496-507, ISSN 1063-5203 Publisher: Academic Press DOI: 10.1016/j.acha.2019.04.005 On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations Author(s): Justin Forlano, William J. Trenberth Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2019, ISSN 0294-1449 Publisher: Elsevier BV DOI: 10.1016/j.anihpc.2019.07.006 "Almost sure global well posedness for the BBM equation with infinite <inline-formula><tex-math id=""M1"">\begin{document}$ L^{2} $\end{document}</tex-math></inline-formula> initial data" Author(s): Justin Forlano Published in: Discrete & Continuous Dynamical Systems - A, Issue 40/1, 2020, Page(s) 267-318, ISSN 1553-5231 Publisher: American Institute of Mathematical Sciences DOI: 10.3934/dcds.2020011 A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds Author(s): Alex Amenta, Leonardo Tolomeo Published in: Proceedings of the American Mathematical Society, Issue 147/11, 2019, Page(s) 4797-4803, ISSN 0002-9939 Publisher: American Mathematical Society DOI: 10.1090/proc/14730 Other (20) Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations Author(s): Tadahiro Oh, Laurent Thomann Published in: Annales de la Faculté des Sciences de Toulouse, 2017 Publisher: Cedram Sovling the 4NLS with white noise initial data Author(s): Tadahiro Oh, Nikolay Tzvetkov, Yuzhao Wang Published in: 2018 Publisher: n/a On the stochastic nonlinear Schrödinger equations with non-smooth additive noise Author(s): Tadahiro Oh, Oana Pocovnicu, Yuzhao Wang Published in: Kyoto Journal of Mathematics, 2018 Publisher: Kyoto University Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line Author(s): Soonsik Kwon, Tadahiro Oh, Haewon Yoon Published in: Annales de la Faculté des Sciences de Toulouse, 2018 Publisher: Cedram Stochastic nonlinear wave dynamics on compact surfaces Author(s): Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov Published in: 2019 Publisher: arXiv Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions Author(s): Trishen S. Gunaratnam, Tadahiro Oh, Nikolay Tzvetkov, Hendrik Weber Published in: 2018 Publisher: arXiv Probabilistic local well-posedness of the cubic nonlinear wave equation in negative Sobolev spaces Author(s): Tadahiro Oh, Oana Pocovnicu, Nikolay Tzvetkov Published in: 2019 Publisher: arXiv Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity Author(s): Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro Published in: 2018 Publisher: arXiv A remark on triviality for the two-dimensional stochastic nonlinear wave equation Author(s): Tadahiro Oh, Mamoru Okamoto, Tristan Robert Published in: Stochastic Processes and their Applications, 2019 Publisher: Elsevier On the parabolic and hyperbolic Liouville equations Author(s): Tadahiro Oh, Tristan Robert, Yuzhao Wang Published in: 2019 Publisher: arXiv Comparing the stochastic nonlinear wave and heat equations: a case study Author(s): Tadahiro Oh, Mamoru Okamoto Published in: 2019 Publisher: arXiv Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces Author(s): Tadahiro Oh, Yuzhao Wang Published in: Journal d'Analyse Mathematique, 2018 Publisher: Springer On global well-posedness of the modified KdV equation in modulation spaces Author(s): Tadahiro Oh, Yuzhao Wang Published in: 2018 Publisher: arXiv Almost conservation laws for stochastic nonlinear Schrödinger equations Author(s): Kelvin Cheung, Guopeng Li, Tadahiro Oh Published in: 2019 Publisher: arXiv Invariant Gibbs dynamics for the dynamical sine-Gordon model Author(s): Tadahiro Oh, Tristan Robert, Philippe Sosoe, Yuzhao Wang Published in: 2020 Publisher: arXiv Stochastic quantization of Liouville conformal field theory Author(s): Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov, Yuzhao Wang Published in: 2020 Publisher: arXiv Global dynamics for the two-dimensional stochastic nonlinear wave equations Author(s): Massimiliano Gubinelli, Herbert Koch, Tadahiro Oh, Leonardo Tolomeo Published in: 2020 Publisher: arXiv A remark on norm inflation for nonlinear wave equations Author(s): Justin Forlano, Mamoru Okamoto Published in: 2019 Publisher: arXiv Global well-posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain Author(s): Leonardo Tolomeo Published in: 2019 Publisher: arXiv A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces Author(s): Andreia Chapouto Published in: 2019 Publisher: arXiv Book chapters (1) On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEs Author(s): Árpád Bényi, Tadahiro Oh, Oana Pocovnicu Published in: Landscapes of Time-Frequency Analysis, 2019, Page(s) 1-32, ISBN 978-3-030-05209-6 Publisher: Springer International Publishing DOI: 10.1007/978-3-030-05210-2_1 Non-peer reviewed articles (6) STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE Author(s): JUSTIN FORLANO, TADAHIRO OH, YUZHAO WANG Published in: Journal of the Australian Mathematical Society, 2019, Page(s) 1-24, ISSN 1446-7887 Publisher: Australian Mathematical Society DOI: 10.1017/s1446788719000156 On the transport of Gaussian measures under the flow of Hamiltonian PDEs Author(s): Tadahiro Oh, Nikolay Tzvetkov Published in: Séminaire Laurent Schwartz — EDP et applications, 2015, Page(s) 1-9, ISSN 2266-0607 Publisher: les Éditions de l'École polytechnique DOI: 10.5802/slsedp.84 On the two-dimensional hyperbolic stochastic sine-Gordon equation Author(s): Tadahiro Oh, Tristan Robert, Philippe Sosoe, Yuzhao Wang Published in: Stochastics and Partial Differential Equations: Analysis and Computations, 2020, ISSN 2194-0401 Publisher: Springer Verlag DOI: 10.1007/s40072-020-00165-8 On the stochastic nonlinear Schrödinger equations at critical regularities Author(s): Tadahiro Oh, Mamoru Okamoto Published in: Stochastics and Partial Differential Equations: Analysis and Computations, 2020, ISSN 2194-0401 Publisher: Springer Verlag DOI: 10.1007/s40072-019-00163-5 Unique Ergodicity for a Class of Stochastic Hyperbolic Equations with Additive Space-Time White Noise Author(s): Leonardo Tolomeo Published in: Communications in Mathematical Physics, 2020, ISSN 0010-3616 Publisher: Springer Verlag DOI: 10.1007/s00220-020-03752-x Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces Author(s): Tadahiro Oh, Yuzhao Wang Published in: Journal of Differential Equations, Issue 269/1, 2020, Page(s) 612-640, ISSN 0022-0396 Publisher: Academic Press DOI: 10.1016/j.jde.2019.12.017 Searching for OpenAIRE data... There was an error trying to search data from OpenAIRE No results available
