Edit Profile (opens in new tab) Oh, Tadahiro Compute Distance To: Compute Author ID: oh.tadahiro Published as: Oh, Tadahiro; Oh, Choonghong External Links: MGP Documents Indexed: 76 Publications since 2006 Co-Authors: 39 Co-Authors with 64 Joint Publications 727 Co-Co-Authors all top 5 Co-Authors 12 single-authored 13 Wang, Yuzhao 12 Bényi, Árpád 11 Pocovnicu, Oana 8 Tzvetkov, Nikolay 5 Kwon, Soonsik 4 Guo, Zihua 4 Okamoto, Mamoru 4 Robert, Tristan 4 Sosoe, Philippe 3 Colliander, James E. 3 Quastel, Jeremy 3 Thomann, Laurent 2 Gubinelli, Massimiliano 2 Killip, Rowan 2 Koch, Herbert 2 Tolomeo, Leonardo 2 Visan, Monica 1 Čanić, Sunčica 1 Cheung, Kelvin 1 Chung, Jaywan 1 Forlano, Justin 1 Gunaratnam, Trishen S. 1 Kuan, Jeffrey 1 Li, Guopeng 1 Liu, Ruoyuan 1 Marzuola, Jeremy Louis 1 Moşincat, Răzvan O. 1 Nahmod, Andrea R. 1 Rey-Bellet, Luc 1 Richards, Geordie 1 Seong, Kihoon 1 Simpson, Gideon 1 Staffilani, Gigliola 1 Sulem, Catherine 1 Tsutsumi, Yoshio 1 Valkó, Benedek 1 Weber, Hendrik 1 Yoon, Haewon 1 Zine, Younes all top 5 Serials 4 IMRN. International Mathematics Research Notices 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Discrete and Continuous Dynamical Systems 2 Journal of the European Mathematical Society (JEMS) 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Sigma 2 Transactions of the American Mathematical Society. Series B 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Publicationes Mathematicae Debrecen 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 Differential and Integral Equations 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Experimental Mathematics 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Mathematical Research Letters 1 Electronic Journal of Probability 1 The Journal of Fourier Analysis and Applications 1 Journal of Inequalities and Applications 1 Journal of Evolution Equations 1 Journal of the Australian Mathematical Society 1 Communications on Pure and Applied Analysis 1 Journal of Function Spaces and Applications 1 Dynamics of Partial Differential Equations 1 RIMS Kôkyûroku Bessatsu 1 Analysis & PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 Proceedings of the American Mathematical Society. Series B 1 Probability and Mathematical Physics all top 5 Fields 71 Partial differential equations (35-XX) 26 Probability theory and stochastic processes (60-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 3 Special functions (33-XX) 2 Number theory (11-XX) 2 Functional analysis (46-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 1,116 times in 468 Documents Cited by ▼ Year ▼ Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\). Zbl 1260.35199Colliander, James; Oh, Tadahiro 68 2012 Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS. Zbl 1251.35151Nahmod, Andrea R.; Oh, Tadahiro; Rey-Bellet, Luc; Staffilani, Gigliola 50 2012 Best constants for certain multilinear integral operators. Zbl 1116.26011Bényi, Árpád; Oh, Choonghong 48 2006 On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on \(\mathbb {R}^d\), \(d \geq 3\). Zbl 1339.35281Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana 48 2015 Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS. Zbl 1375.42040Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana 45 2015 Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on \(\mathbb R^3\). Zbl 1343.35167Oh, Tadahiro; Pocovnicu, Oana 35 2016 Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\). Zbl 1367.35158Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica 35 2017 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274Oh, Tadahiro; Tzvetkov, Nikolay 34 2017 Renormalization of the two-dimensional stochastic nonlinear wave equations. Zbl 1400.35240Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro 31 2018 Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on \(\mathbb {R}^3\). Zbl 1410.35195Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana 31 2019 The Sobolev inequality on the torus revisited. Zbl 1313.42081Bényi, Árpád; Oh, Tadahiro 30 2013 Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS. Zbl 1308.35270Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro 30 2013 A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces. Zbl 1382.35273Oh, Tadahiro 29 2017 Modulation spaces, Wiener amalgam spaces, and Brownian motions. Zbl 1229.42021Bényi, Árpád; Oh, Tadahiro 28 2011 Non-existence of solutions for the periodic cubic NLS below \(L^2\). Zbl 1410.35199Guo, Zihua; Oh, Tadahiro 28 2018 Invariance of the Gibbs measure for the Schrödinger-Benjamin-Ono system. Zbl 1205.35268Oh, Tadahiro 24 2009 Invariant Gibbs measures and a.s. global well posedness for coupled KdV systems. Zbl 1240.35477Oh, Tadahiro 23 2009 Strichartz estimates for Schrödinger equations on irrational tori. Zbl 1303.35099Guo, Zihua; Oh, Tadahiro; Wang, Yuzhao 22 2014 On unconditional well-posedness of modified KdV. Zbl 1248.35186Kwon, Soonsik; Oh, Tadahiro 21 2012 On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities. Zbl 1455.35240Oh, Tadahiro; Okamoto, Mamoru; Pocovnicu, Oana 21 2019 A remark on normal forms and the “upside-down” \(I\)-method for periodic NLS: growth of higher Sobolev norms. Zbl 1310.35213Colliander, James; Kwon, Soonsik; Oh, Tadahiro 20 2012 On the one-dimensional cubic nonlinear Schrödinger equation below \(L^{2}\). Zbl 1258.35184Oh, Tadahiro; Sulem, Catherine 19 2012 Invariance of the white noise for KdV. Zbl 1185.35237Oh, Tadahiro 19 2009 A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations. Zbl 1421.35340Oh, Tadahiro; Thomann, Laurent 19 2018 Global well-posedness of the periodic cubic fourth order NLS in negative Sobolev spaces. Zbl 1431.35178Oh, Tadahiro; Wang, Yuzhao 18 2018 An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. (Régularité optimale pour la quasi-invariance de mesures gaussiennes par le flot de l’équation de Schrödinger non linéaire d’ordre 4.) Zbl 1405.35198Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay 18 2018 Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators. Zbl 1327.35471Bényi, Árpád; Oh, Tadahiro 17 2014 Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces. Zbl 1447.35300Oh, Tadahiro; Wang, Yuzhao 16 2020 Global well-posedness of the Gross-Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. Zbl 1291.35352Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica 15 2012 Periodic stochastic Korteweg-de Vries equation with additive space-time white noise. Zbl 1190.35202Oh, Tadahiro 15 2009 On the probabilistic Cauchy theory for nonlinear dispersive PDEs. Zbl 1418.35389Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana 13 2019 Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion. (Mesures gaussiennes quasi invariantes pour l’équation de Schrödinger non linéaire cubique avec dispersion d’ordre trois.) Zbl 1421.35341Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay 13 2019 Interpolation of Gibbs measures with white noise for Hamiltonian PDE. Zbl 1260.60140Oh, Tadahiro; Quastel, Jeremy; Valkó, Benedek 12 2012 Remarks on nonlinear smoothing under randomization for the periodic KdV and the cubic Szegő equation. Zbl 1387.35637Oh, Tadahiro 11 2011 A blowup result for the periodic NLS without gauge invariance. Zbl 1239.35149Oh, Tadahiro 11 2012 On the ill-posedness of the cubic nonlinear Schrödinger equation on the circle. Zbl 1438.35397Oh, Tadahiro; Wang, Yuzhao 10 2018 Invariant Gibbs measures for the 2-\(d\) defocusing nonlinear wave equations. Zbl 1443.35101Oh, Tadahiro; Thomann, Laurent 10 2020 A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle. (Une remarque sur le caractère globalement bien posé de l’équation de Schrödinger non linéaire avec dérivée sur le cercle.) Zbl 1323.35164Mosincat, Razvan; Oh, Tadahiro 9 2015 Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175Oh, Tadahiro; Tzvetkov, Nikolay 9 2020 Solving the 4NLS with white noise initial data. Zbl 1452.35193Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao 9 2020 Diophantine conditions in well-posedness theory of coupled KdV-type systems: local theory. Zbl 1178.35334Oh, Tadahiro 9 2009 Stochastic nonlinear Schrödinger equation with almost space-time white noise. Zbl 1442.35418Forlano, Justin; Oh, Tadahiro; Wang, Yuzhao 9 2020 On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151Oh, Tadahiro; Richards, Geordie; Thomann, Laurent 8 2016 Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line. Zbl 1454.35346Kwon, Soonsik; Oh, Tadahiro; Yoon, Haewon 8 2020 On invariant Gibbs measures conditioned on mass and momentum. Zbl 1274.60214Oh, Tadahiro; Quastel, Jeremy 8 2013 A remark on triviality for the two-dimensional stochastic nonlinear wave equation. Zbl 1448.35587Oh, Tadahiro; Okamoto, Mamoru; Robert, Tristan 8 2020 Comparing the stochastic nonlinear wave and heat equations: a case study. Zbl 1469.35270Oh, Tadahiro; Okamoto, Mamoru 8 2021 Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle. Zbl 1386.35376Chung, Jaywan; Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro 7 2017 White noise for KdV and mKdV on the circle. Zbl 1211.35243Oh, Tadahiro 7 2010 On nonlinear Schrödinger equations with almost periodic initial data. Zbl 1334.35322Oh, Tadahiro 7 2015 Diophantine conditions in global well-posedness for coupled KdV-type systems. Zbl 1173.35664Oh, Tadahiro 7 2009 On the two-dimensional hyperbolic stochastic sine-Gordon equation. Zbl 1470.35450Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao 7 2021 On the Cameron-Martin theorem and almost-sure global existence. Zbl 1347.60087Oh, Tadahiro; Quastel, Jeremy 6 2016 On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise. Zbl 1454.35349Oh, Tadahiro; Pocovnicu, Oana; Wang, Yuzhao 6 2020 A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting. Zbl 1394.35285Oh, Tadahiro; Pocovnicu, Oana 5 2017 Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data. Zbl 1318.35108Oh, Tadahiro 5 2015 Invariant Gibbs dynamics for the dynamical sine-Gordon model. Zbl 1473.35363Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao 5 2021 Behavior of a model dynamical system with applications to weak turbulence. Zbl 1285.35106Colliander, James E.; Marzuola, Jeremy L.; Oh, Tadahiro; Simpson, Gideon 4 2013 Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus. Zbl 1501.35375Oh, Tadahiro; Sosoe, Philippe; Tolomeo, Leonardo 4 2022 On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158Oh, Tadahiro; Tzvetkov, Nikolay 3 2016 On the stochastic nonlinear Schrödinger equations at critical regularities. Zbl 1452.35192Oh, Tadahiro; Okamoto, Mamoru 3 2020 Modulation spaces with scaling symmetry. Zbl 1440.42101Bényi, Árpád; Oh, Tadahiro 3 2020 On the parabolic and hyperbolic Liouville equations. Zbl 1481.60123Oh, Tadahiro; Robert, Tristan; Wang, Yuzhao 2 2021 On global well-posedness of the modified KdV equation in modulation spaces. Zbl 1469.35188Oh, Tadahiro; Wang, Yuzhao 2 2021 On a class of bilinear pseudodifferential operators. Zbl 1401.35364Bényi, Árpád; Oh, Tadahiro 2 2013 Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces. (Le caractère bien posé probabiliste de l’équation des ondes cubique dans des espaces de Sobolev d’indices négatifs.) Zbl 1492.35168Oh, Tadahiro; Pocovnicu, Oana; Tzvetkov, Nikolay 2 2022 Global dynamics for the two-dimensional stochastic nonlinear wave equations. Zbl 07614307Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro; Tolomeo, Leonardo 2 2022 Almost conservation laws for stochastic nonlinear Schrödinger equations. Zbl 1476.35230Cheung, Kelvin; Li, Guopeng; Oh, Tadahiro 1 2021 Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces. Zbl 1476.35247Oh, Tadahiro; Wang, Yuzhao 1 2021 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces. Zbl 1479.35815Oh, Tadahiro; Seong, Kihoon 1 2021 Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid-structure interaction. Zbl 1504.35339Kuan, Jeffrey; Oh, Tadahiro; Čanić, Sunčica 1 2022 Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise. Zbl 1502.35207Oh, Tadahiro; Wang, Yuzhao; Zine, Younes 1 2022 Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus. Zbl 1501.35375Oh, Tadahiro; Sosoe, Philippe; Tolomeo, Leonardo 4 2022 Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces. (Le caractère bien posé probabiliste de l’équation des ondes cubique dans des espaces de Sobolev d’indices négatifs.) Zbl 1492.35168Oh, Tadahiro; Pocovnicu, Oana; Tzvetkov, Nikolay 2 2022 Global dynamics for the two-dimensional stochastic nonlinear wave equations. Zbl 07614307Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro; Tolomeo, Leonardo 2 2022 Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid-structure interaction. Zbl 1504.35339Kuan, Jeffrey; Oh, Tadahiro; Čanić, Sunčica 1 2022 Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise. Zbl 1502.35207Oh, Tadahiro; Wang, Yuzhao; Zine, Younes 1 2022 Comparing the stochastic nonlinear wave and heat equations: a case study. Zbl 1469.35270Oh, Tadahiro; Okamoto, Mamoru 8 2021 On the two-dimensional hyperbolic stochastic sine-Gordon equation. Zbl 1470.35450Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao 7 2021 Invariant Gibbs dynamics for the dynamical sine-Gordon model. Zbl 1473.35363Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao 5 2021 On the parabolic and hyperbolic Liouville equations. Zbl 1481.60123Oh, Tadahiro; Robert, Tristan; Wang, Yuzhao 2 2021 On global well-posedness of the modified KdV equation in modulation spaces. Zbl 1469.35188Oh, Tadahiro; Wang, Yuzhao 2 2021 Almost conservation laws for stochastic nonlinear Schrödinger equations. Zbl 1476.35230Cheung, Kelvin; Li, Guopeng; Oh, Tadahiro 1 2021 Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces. Zbl 1476.35247Oh, Tadahiro; Wang, Yuzhao 1 2021 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces. Zbl 1479.35815Oh, Tadahiro; Seong, Kihoon 1 2021 Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces. Zbl 1447.35300Oh, Tadahiro; Wang, Yuzhao 16 2020 Invariant Gibbs measures for the 2-\(d\) defocusing nonlinear wave equations. Zbl 1443.35101Oh, Tadahiro; Thomann, Laurent 10 2020 Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175Oh, Tadahiro; Tzvetkov, Nikolay 9 2020 Solving the 4NLS with white noise initial data. Zbl 1452.35193Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao 9 2020 Stochastic nonlinear Schrödinger equation with almost space-time white noise. Zbl 1442.35418Forlano, Justin; Oh, Tadahiro; Wang, Yuzhao 9 2020 Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line. Zbl 1454.35346Kwon, Soonsik; Oh, Tadahiro; Yoon, Haewon 8 2020 A remark on triviality for the two-dimensional stochastic nonlinear wave equation. Zbl 1448.35587Oh, Tadahiro; Okamoto, Mamoru; Robert, Tristan 8 2020 On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise. Zbl 1454.35349Oh, Tadahiro; Pocovnicu, Oana; Wang, Yuzhao 6 2020 On the stochastic nonlinear Schrödinger equations at critical regularities. Zbl 1452.35192Oh, Tadahiro; Okamoto, Mamoru 3 2020 Modulation spaces with scaling symmetry. Zbl 1440.42101Bényi, Árpád; Oh, Tadahiro 3 2020 Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on \(\mathbb {R}^3\). Zbl 1410.35195Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana 31 2019 On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities. Zbl 1455.35240Oh, Tadahiro; Okamoto, Mamoru; Pocovnicu, Oana 21 2019 On the probabilistic Cauchy theory for nonlinear dispersive PDEs. Zbl 1418.35389Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana 13 2019 Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion. (Mesures gaussiennes quasi invariantes pour l’équation de Schrödinger non linéaire cubique avec dispersion d’ordre trois.) Zbl 1421.35341Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay 13 2019 Renormalization of the two-dimensional stochastic nonlinear wave equations. Zbl 1400.35240Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro 31 2018 Non-existence of solutions for the periodic cubic NLS below \(L^2\). Zbl 1410.35199Guo, Zihua; Oh, Tadahiro 28 2018 A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations. Zbl 1421.35340Oh, Tadahiro; Thomann, Laurent 19 2018 Global well-posedness of the periodic cubic fourth order NLS in negative Sobolev spaces. Zbl 1431.35178Oh, Tadahiro; Wang, Yuzhao 18 2018 An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. (Régularité optimale pour la quasi-invariance de mesures gaussiennes par le flot de l’équation de Schrödinger non linéaire d’ordre 4.) Zbl 1405.35198Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay 18 2018 On the ill-posedness of the cubic nonlinear Schrödinger equation on the circle. Zbl 1438.35397Oh, Tadahiro; Wang, Yuzhao 10 2018 Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\). Zbl 1367.35158Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica 35 2017 Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274Oh, Tadahiro; Tzvetkov, Nikolay 34 2017 A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces. Zbl 1382.35273Oh, Tadahiro 29 2017 Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle. Zbl 1386.35376Chung, Jaywan; Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro 7 2017 A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting. Zbl 1394.35285Oh, Tadahiro; Pocovnicu, Oana 5 2017 Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on \(\mathbb R^3\). Zbl 1343.35167Oh, Tadahiro; Pocovnicu, Oana 35 2016 On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151Oh, Tadahiro; Richards, Geordie; Thomann, Laurent 8 2016 On the Cameron-Martin theorem and almost-sure global existence. Zbl 1347.60087Oh, Tadahiro; Quastel, Jeremy 6 2016 On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158Oh, Tadahiro; Tzvetkov, Nikolay 3 2016 On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on \(\mathbb {R}^d\), \(d \geq 3\). Zbl 1339.35281Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana 48 2015 Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS. Zbl 1375.42040Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana 45 2015 A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle. (Une remarque sur le caractère globalement bien posé de l’équation de Schrödinger non linéaire avec dérivée sur le cercle.) Zbl 1323.35164Mosincat, Razvan; Oh, Tadahiro 9 2015 On nonlinear Schrödinger equations with almost periodic initial data. Zbl 1334.35322Oh, Tadahiro 7 2015 Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data. Zbl 1318.35108Oh, Tadahiro 5 2015 Strichartz estimates for Schrödinger equations on irrational tori. Zbl 1303.35099Guo, Zihua; Oh, Tadahiro; Wang, Yuzhao 22 2014 Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators. Zbl 1327.35471Bényi, Árpád; Oh, Tadahiro 17 2014 The Sobolev inequality on the torus revisited. Zbl 1313.42081Bényi, Árpád; Oh, Tadahiro 30 2013 Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS. Zbl 1308.35270Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro 30 2013 On invariant Gibbs measures conditioned on mass and momentum. Zbl 1274.60214Oh, Tadahiro; Quastel, Jeremy 8 2013 Behavior of a model dynamical system with applications to weak turbulence. Zbl 1285.35106Colliander, James E.; Marzuola, Jeremy L.; Oh, Tadahiro; Simpson, Gideon 4 2013 On a class of bilinear pseudodifferential operators. Zbl 1401.35364Bényi, Árpád; Oh, Tadahiro 2 2013 Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\). Zbl 1260.35199Colliander, James; Oh, Tadahiro 68 2012 Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS. Zbl 1251.35151Nahmod, Andrea R.; Oh, Tadahiro; Rey-Bellet, Luc; Staffilani, Gigliola 50 2012 On unconditional well-posedness of modified KdV. Zbl 1248.35186Kwon, Soonsik; Oh, Tadahiro 21 2012 A remark on normal forms and the “upside-down” \(I\)-method for periodic NLS: growth of higher Sobolev norms. Zbl 1310.35213Colliander, James; Kwon, Soonsik; Oh, Tadahiro 20 2012 On the one-dimensional cubic nonlinear Schrödinger equation below \(L^{2}\). Zbl 1258.35184Oh, Tadahiro; Sulem, Catherine 19 2012 Global well-posedness of the Gross-Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. Zbl 1291.35352Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica 15 2012 Interpolation of Gibbs measures with white noise for Hamiltonian PDE. Zbl 1260.60140Oh, Tadahiro; Quastel, Jeremy; Valkó, Benedek 12 2012 A blowup result for the periodic NLS without gauge invariance. Zbl 1239.35149Oh, Tadahiro 11 2012 Modulation spaces, Wiener amalgam spaces, and Brownian motions. Zbl 1229.42021Bényi, Árpád; Oh, Tadahiro 28 2011 Remarks on nonlinear smoothing under randomization for the periodic KdV and the cubic Szegő equation. Zbl 1387.35637Oh, Tadahiro 11 2011 White noise for KdV and mKdV on the circle. Zbl 1211.35243Oh, Tadahiro 7 2010 Invariance of the Gibbs measure for the Schrödinger-Benjamin-Ono system. Zbl 1205.35268Oh, Tadahiro 24 2009 Invariant Gibbs measures and a.s. global well posedness for coupled KdV systems. Zbl 1240.35477Oh, Tadahiro 23 2009 Invariance of the white noise for KdV. Zbl 1185.35237Oh, Tadahiro 19 2009 Periodic stochastic Korteweg-de Vries equation with additive space-time white noise. Zbl 1190.35202Oh, Tadahiro 15 2009 Diophantine conditions in well-posedness theory of coupled KdV-type systems: local theory. Zbl 1178.35334Oh, Tadahiro 9 2009 Diophantine conditions in global well-posedness for coupled KdV-type systems. Zbl 1173.35664Oh, Tadahiro 7 2009 Best constants for certain multilinear integral operators. Zbl 1116.26011Bényi, Árpád; Oh, Choonghong 48 2006 all cited Publications top 5 cited Publications all top 5 Cited by 481 Authors 51 Oh, Tadahiro 31 Yang, Bicheng 24 Tzvetkov, Nikolay 13 Wang, Yuzhao 11 Pocovnicu, Oana 9 Sohinger, Vedran 8 Chen, Qiang 8 Okamoto, Mamoru 8 Rassias, Michael Th. 7 Bényi, Árpád 7 Deng, Yu 7 Gubinelli, Massimiliano 7 Killip, Rowan 7 Schippa, Robert 7 Thomann, Laurent 7 Visan, Monica 7 Yan, Wei 6 Bhimani, Divyang G. 6 Kwon, Soonsik 6 Murphy, Jason 6 Nahmod, Andrea R. 6 Visciglia, Nicola 5 Deya, Aurélien 5 Fu, Zunwei 5 Fujiwara, Kazumasa 5 Kikuchi, Hiroaki 5 Kishimoto, Nobu 5 Ozawa, Tohru 5 Soffer, Avraham 5 Staffilani, Gigliola 5 Sun, Chenmin 5 Wang, Baoxiang 5 Yue, Haitian 4 Akahori, Takafumi 4 Banica, Valeria 4 Bringmann, Björn 4 Cacciafesta, Federico 4 Carles, Rémi 4 Forlano, Justin 4 Fröhlich, Jürg Martin 4 Germain, Pierre 4 Guardia, Marcel 4 Hani, Zaher 4 Ibrahim, Slim 4 Knowles, Antti 4 Kunstmann, Peer Christian 4 Lu, Shanzhen 4 Luca, Renato 4 Moşincat, Răzvan O. 4 Pattakos, Nikolaos 4 Robert, Tristan 4 Schlein, Benjamin 4 Seong, Kihoon 4 Sosoe, Philippe 4 Tsutsumi, Yoshio 4 Yan, Xiangqian 4 Zheng, Jiqiang 3 Ambrosio, Vincenzo 3 Bona, Jerry Lloyd 3 Burq, Nicolas 3 Carvajal, Xavier Paredes 3 Cavalcante, Márcio André Araújo 3 Cobos, Fernando 3 de Suzzoni, Anne-Sophie 3 Dodson, Benjamin G. 3 Fageot, Julien 3 Fernández-Cabrera, Luz M. 3 Genovese, Giuseppe 3 Guo, Zihua 3 Jeanjean, Louis 3 Klaus, Friedrich 3 Kobayashi, Masaharu 3 Koch, Herbert 3 Kwak, Chulkwang 3 Lewin, Mathieu 3 Martínez Martínez, Antón 3 Maspero, Alberto 3 Oh, Seungly 3 Procesi, Michela 3 Quastel, Jeremy 3 Sato, Enji 3 Shi, Yanping 3 Soave, Nicola 3 Spitz, Martin 3 Sugimoto, Mitsuru 3 Sy, Mouhamadou 3 Tolomeo, Leonardo 3 Unser, Michael A. 3 Vega, Luis 3 Wu, Qingyan 3 Yan, Dunyan 3 Yoon, Haewon 3 Zhang, Deng 3 Zhang, Shuai 3 Zhao, Fayou 3 Zhao, Yajuan 2 Albeverio, Sergio A. 2 Beceanu, Marius 2 Boukarou, Aissa 2 Camps, Nicolas ...and 381 more Authors all top 5 Cited in 136 Serials 24 Journal of Differential Equations 18 Journal of Mathematical Analysis and Applications 17 Journal of Functional Analysis 17 Journal of Inequalities and Applications 16 Discrete and Continuous Dynamical Systems 13 Communications in Mathematical Physics 13 Nonlinear Analysis. 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