Compute Distance To:
 Author ID: oh.tadahiro Published as: Oh, Tadahiro; Oh, Choonghong External Links: MGP
 Documents Indexed: 69 Publications since 2006 Co-Authors: 33 Co-Authors with 57 Joint Publications 613 Co-Co-Authors
all top 5

### Co-Authors

 12 single-authored 12 Wang, Yuzhao 11 Bényi, Árpád 10 Pocovnicu, Oana 6 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 Killip, Rowan 2 Visan, Monica 1 Cheung, Kelvin 1 Chung, Jaywan 1 Forlano, Justin 1 Gubinelli, Massimiliano 1 Koch, Herbert 1 Li, Guopeng 1 Marzuola, Jeremy L. 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 Tolomeo, Leonardo 1 Tsutsumi, Yoshio 1 Valkó, Benedek 1 Yoon, Haewon
all top 5

### Serials

 3 Communications in Mathematical Physics 3 IMRN. International Mathematics Research Notices 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Stochastic and Partial Differential Equations. Analysis and Computations 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 Archive for Rational Mechanics and Analysis 1 Advances in Mathematics 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 1 Tohoku 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 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
all top 5

### Fields

 65 Partial differential equations (35-XX) 21 Probability theory and stochastic processes (60-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Dynamical systems and ergodic theory (37-XX) 4 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 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

65 Publications have been cited 894 times in 385 Documents Cited by Year
Almost sure well-posedness of the cubic nonlinear Schrödinger equation below $$L^{2}(\mathbb{T})$$. Zbl 1260.35199
Colliander, James; Oh, Tadahiro
2012
Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS. Zbl 1251.35151
Nahmod, Andrea R.; Oh, Tadahiro; Rey-Bellet, Luc; Staffilani, Gigliola
2012
Best constants for certain multilinear integral operators. Zbl 1116.26011
Bényi, Árpád; Oh, Choonghong
2006
On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $$\mathbb {R}^d$$, $$d \geq 3$$. Zbl 1339.35281
Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana
2015
Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS. Zbl 1375.42040
Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana
2015
The Sobolev inequality on the torus revisited. Zbl 1313.42081
Bényi, Árpád; Oh, Tadahiro
2013
Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $$\mathbb R^3$$. Zbl 1343.35167
Oh, Tadahiro; Pocovnicu, Oana
2016
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274
Oh, Tadahiro; Tzvetkov, Nikolay
2017
Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS. Zbl 1308.35270
Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro
2013
Modulation spaces, Wiener amalgam spaces, and Brownian motions. Zbl 1229.42021
Bényi, Árpád; Oh, Tadahiro
2011
Non-existence of solutions for the periodic cubic NLS below $$L^2$$. Zbl 1410.35199
Guo, Zihua; Oh, Tadahiro
2018
Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on $${\mathbb{R}^3}$$. Zbl 1367.35158
Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica
2017
A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces. Zbl 1382.35273
2017
Invariance of the Gibbs measure for the Schrödinger-Benjamin-Ono system. Zbl 1205.35268
2009
Invariant Gibbs measures and a.s. global well posedness for coupled KdV systems. Zbl 1240.35477
2009
Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on $$\mathbb {R}^3$$. Zbl 1410.35195
Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana
2019
Strichartz estimates for Schrödinger equations on irrational tori. Zbl 1303.35099
Guo, Zihua; Oh, Tadahiro; Wang, Yuzhao
2014
A remark on normal forms and the “upside-down” $$I$$-method for periodic NLS: growth of higher Sobolev norms. Zbl 1310.35213
Colliander, James; Kwon, Soonsik; Oh, Tadahiro
2012
Renormalization of the two-dimensional stochastic nonlinear wave equations. Zbl 1400.35240
Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro
2018
On the one-dimensional cubic nonlinear Schrödinger equation below $$L^{2}$$. Zbl 1258.35184
Oh, Tadahiro; Sulem, Catherine
2012
On unconditional well-posedness of modified KdV. Zbl 1248.35186
Kwon, Soonsik; Oh, Tadahiro
2012
Invariance of the white noise for KdV. Zbl 1185.35237
2009
A Pedestrian approach to the invariant Gibbs measures for the 2-$$d$$ defocusing nonlinear Schrödinger equations. Zbl 1421.35340
Oh, Tadahiro; Thomann, Laurent
2018
Global well-posedness of the periodic cubic fourth order NLS in negative Sobolev spaces. Zbl 1431.35178
Oh, Tadahiro; Wang, Yuzhao
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 1405.35198
Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay
2018
On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities. Zbl 1455.35240
Oh, Tadahiro; Okamoto, Mamoru; Pocovnicu, Oana
2019
Periodic stochastic Korteweg-de Vries equation with additive space-time white noise. Zbl 1190.35202
2009
Global well-posedness of the Gross-Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. Zbl 1291.35352
Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica
2012
Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators. Zbl 1327.35471
Bényi, Árpád; Oh, Tadahiro
2014
Interpolation of Gibbs measures with white noise for Hamiltonian PDE. Zbl 1260.60140
Oh, Tadahiro; Quastel, Jeremy; Valkó, Benedek
2012
Remarks on nonlinear smoothing under randomization for the periodic KdV and the cubic Szegő equation. Zbl 1387.35637
2011
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 1421.35341
Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay
2019
A blowup result for the periodic NLS without gauge invariance. Zbl 1239.35149
2012
Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces. Zbl 1447.35300
Oh, Tadahiro; Wang, Yuzhao
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 1323.35164
Mosincat, Razvan; Oh, Tadahiro
2015
On the ill-posedness of the cubic nonlinear Schrödinger equation on the circle. Zbl 1438.35397
Oh, Tadahiro; Wang, Yuzhao
2018
On the probabilistic Cauchy theory for nonlinear dispersive PDEs. Zbl 1418.35389
Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana
2019
Invariant Gibbs measures for the 2-$$d$$ defocusing nonlinear wave equations. Zbl 1443.35101
Oh, Tadahiro; Thomann, Laurent
2020
Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle. Zbl 1386.35376
Chung, Jaywan; Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro
2017
On invariant Gibbs measures conditioned on mass and momentum. Zbl 1274.60214
Oh, Tadahiro; Quastel, Jeremy
2013
White noise for KdV and mKdV on the circle. Zbl 1211.35243
2010
Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175
Oh, Tadahiro; Tzvetkov, Nikolay
2020
Stochastic nonlinear Schrödinger equation with almost space-time white noise. Zbl 1442.35418
Forlano, Justin; Oh, Tadahiro; Wang, Yuzhao
2020
On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151
Oh, Tadahiro; Richards, Geordie; Thomann, Laurent
2016
On nonlinear Schrödinger equations with almost periodic initial data. Zbl 1334.35322
2015
Solving the 4NLS with white noise initial data. Zbl 1452.35193
Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao
2020
Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line. Zbl 1454.35346
Kwon, Soonsik; Oh, Tadahiro; Yoon, Haewon
2020
Diophantine conditions in global well-posedness for coupled KdV-type systems. Zbl 1173.35664
2009
On the Cameron-Martin theorem and almost-sure global existence. Zbl 1347.60087
Oh, Tadahiro; Quastel, Jeremy
2016
On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise. Zbl 1454.35349
Oh, Tadahiro; Pocovnicu, Oana; Wang, Yuzhao
2020
A remark on triviality for the two-dimensional stochastic nonlinear wave equation. Zbl 1448.35587
Oh, Tadahiro; Okamoto, Mamoru; Robert, Tristan
2020
Diophantine conditions in well-posedness theory of coupled KdV-type systems: local theory. Zbl 1178.35334
2009
A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting. Zbl 1394.35285
Oh, Tadahiro; Pocovnicu, Oana
2017
Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data. Zbl 1318.35108
2015
Behavior of a model dynamical system with applications to weak turbulence. Zbl 1285.35106
Colliander, James E.; Marzuola, Jeremy L.; Oh, Tadahiro; Simpson, Gideon
2013
On the two-dimensional hyperbolic stochastic sine-Gordon equation. Zbl 1470.35450
Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao
2021
Modulation spaces with scaling symmetry. Zbl 1440.42101
Bényi, Árpád; Oh, Tadahiro
2020
On a class of bilinear pseudodifferential operators. Zbl 1401.35364
Bényi, Árpád; Oh, Tadahiro
2013
On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158
Oh, Tadahiro; Tzvetkov, Nikolay
2016
On the stochastic nonlinear Schrödinger equations at critical regularities. Zbl 1452.35192
Oh, Tadahiro; Okamoto, Mamoru
2020
Comparing the stochastic nonlinear wave and heat equations: a case study. Zbl 1469.35270
Oh, Tadahiro; Okamoto, Mamoru
2021
On global well-posedness of the modified KdV equation in modulation spaces. Zbl 1469.35188
Oh, Tadahiro; Wang, Yuzhao
2021
Almost conservation laws for stochastic nonlinear Schrödinger equations. Zbl 1476.35230
Cheung, Kelvin; Li, Guopeng; Oh, Tadahiro
2021
Invariant Gibbs dynamics for the dynamical sine-Gordon model. Zbl 1473.35363
Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao
2021
On the parabolic and hyperbolic Liouville equations. Zbl 1481.60123
Oh, Tadahiro; Robert, Tristan; Wang, Yuzhao
2021
On the two-dimensional hyperbolic stochastic sine-Gordon equation. Zbl 1470.35450
Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao
2021
Comparing the stochastic nonlinear wave and heat equations: a case study. Zbl 1469.35270
Oh, Tadahiro; Okamoto, Mamoru
2021
On global well-posedness of the modified KdV equation in modulation spaces. Zbl 1469.35188
Oh, Tadahiro; Wang, Yuzhao
2021
Almost conservation laws for stochastic nonlinear Schrödinger equations. Zbl 1476.35230
Cheung, Kelvin; Li, Guopeng; Oh, Tadahiro
2021
Invariant Gibbs dynamics for the dynamical sine-Gordon model. Zbl 1473.35363
Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao
2021
On the parabolic and hyperbolic Liouville equations. Zbl 1481.60123
Oh, Tadahiro; Robert, Tristan; Wang, Yuzhao
2021
Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces. Zbl 1447.35300
Oh, Tadahiro; Wang, Yuzhao
2020
Invariant Gibbs measures for the 2-$$d$$ defocusing nonlinear wave equations. Zbl 1443.35101
Oh, Tadahiro; Thomann, Laurent
2020
Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation. Zbl 1441.35175
Oh, Tadahiro; Tzvetkov, Nikolay
2020
Stochastic nonlinear Schrödinger equation with almost space-time white noise. Zbl 1442.35418
Forlano, Justin; Oh, Tadahiro; Wang, Yuzhao
2020
Solving the 4NLS with white noise initial data. Zbl 1452.35193
Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao
2020
Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line. Zbl 1454.35346
Kwon, Soonsik; Oh, Tadahiro; Yoon, Haewon
2020
On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise. Zbl 1454.35349
Oh, Tadahiro; Pocovnicu, Oana; Wang, Yuzhao
2020
A remark on triviality for the two-dimensional stochastic nonlinear wave equation. Zbl 1448.35587
Oh, Tadahiro; Okamoto, Mamoru; Robert, Tristan
2020
Modulation spaces with scaling symmetry. Zbl 1440.42101
Bényi, Árpád; Oh, Tadahiro
2020
On the stochastic nonlinear Schrödinger equations at critical regularities. Zbl 1452.35192
Oh, Tadahiro; Okamoto, Mamoru
2020
Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on $$\mathbb {R}^3$$. Zbl 1410.35195
Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana
2019
On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities. Zbl 1455.35240
Oh, Tadahiro; Okamoto, Mamoru; Pocovnicu, Oana
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 1421.35341
Oh, Tadahiro; Tsutsumi, Yoshio; Tzvetkov, Nikolay
2019
On the probabilistic Cauchy theory for nonlinear dispersive PDEs. Zbl 1418.35389
Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana
2019
Non-existence of solutions for the periodic cubic NLS below $$L^2$$. Zbl 1410.35199
Guo, Zihua; Oh, Tadahiro
2018
Renormalization of the two-dimensional stochastic nonlinear wave equations. Zbl 1400.35240
Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro
2018
A Pedestrian approach to the invariant Gibbs measures for the 2-$$d$$ defocusing nonlinear Schrödinger equations. Zbl 1421.35340
Oh, Tadahiro; Thomann, Laurent
2018
Global well-posedness of the periodic cubic fourth order NLS in negative Sobolev spaces. Zbl 1431.35178
Oh, Tadahiro; Wang, Yuzhao
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 1405.35198
Oh, Tadahiro; Sosoe, Philippe; Tzvetkov, Nikolay
2018
On the ill-posedness of the cubic nonlinear Schrödinger equation on the circle. Zbl 1438.35397
Oh, Tadahiro; Wang, Yuzhao
2018
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation. Zbl 1382.35274
Oh, Tadahiro; Tzvetkov, Nikolay
2017
Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on $${\mathbb{R}^3}$$. Zbl 1367.35158
Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica
2017
A remark on norm inflation with general initial data for the cubic nonlinear Schrödinger equations in negative Sobolev spaces. Zbl 1382.35273
2017
Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle. Zbl 1386.35376
Chung, Jaywan; Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro
2017
A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting. Zbl 1394.35285
Oh, Tadahiro; Pocovnicu, Oana
2017
Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $$\mathbb R^3$$. Zbl 1343.35167
Oh, Tadahiro; Pocovnicu, Oana
2016
On invariant Gibbs measures for the generalized KdV equations. Zbl 1352.35151
Oh, Tadahiro; Richards, Geordie; Thomann, Laurent
2016
On the Cameron-Martin theorem and almost-sure global existence. Zbl 1347.60087
Oh, Tadahiro; Quastel, Jeremy
2016
On the transport of Gaussian measures under the flow of Hamiltonian PDEs. Zbl 1361.35158
Oh, Tadahiro; Tzvetkov, Nikolay
2016
On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $$\mathbb {R}^d$$, $$d \geq 3$$. Zbl 1339.35281
Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana
2015
Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS. Zbl 1375.42040
Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana
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 1323.35164
Mosincat, Razvan; Oh, Tadahiro
2015
On nonlinear Schrödinger equations with almost periodic initial data. Zbl 1334.35322
2015
Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data. Zbl 1318.35108
2015
Strichartz estimates for Schrödinger equations on irrational tori. Zbl 1303.35099
Guo, Zihua; Oh, Tadahiro; Wang, Yuzhao
2014
Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators. Zbl 1327.35471
Bényi, Árpád; Oh, Tadahiro
2014
The Sobolev inequality on the torus revisited. Zbl 1313.42081
Bényi, Árpád; Oh, Tadahiro
2013
Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS. Zbl 1308.35270
Guo, Zihua; Kwon, Soonsik; Oh, Tadahiro
2013
On invariant Gibbs measures conditioned on mass and momentum. Zbl 1274.60214
Oh, Tadahiro; Quastel, Jeremy
2013
Behavior of a model dynamical system with applications to weak turbulence. Zbl 1285.35106
Colliander, James E.; Marzuola, Jeremy L.; Oh, Tadahiro; Simpson, Gideon
2013
On a class of bilinear pseudodifferential operators. Zbl 1401.35364
Bényi, Árpád; Oh, Tadahiro
2013
Almost sure well-posedness of the cubic nonlinear Schrödinger equation below $$L^{2}(\mathbb{T})$$. Zbl 1260.35199
Colliander, James; Oh, Tadahiro
2012
Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS. Zbl 1251.35151
Nahmod, Andrea R.; Oh, Tadahiro; Rey-Bellet, Luc; Staffilani, Gigliola
2012
A remark on normal forms and the “upside-down” $$I$$-method for periodic NLS: growth of higher Sobolev norms. Zbl 1310.35213
Colliander, James; Kwon, Soonsik; Oh, Tadahiro
2012
On the one-dimensional cubic nonlinear Schrödinger equation below $$L^{2}$$. Zbl 1258.35184
Oh, Tadahiro; Sulem, Catherine
2012
On unconditional well-posedness of modified KdV. Zbl 1248.35186
Kwon, Soonsik; Oh, Tadahiro
2012
Global well-posedness of the Gross-Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. Zbl 1291.35352
Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica
2012
Interpolation of Gibbs measures with white noise for Hamiltonian PDE. Zbl 1260.60140
Oh, Tadahiro; Quastel, Jeremy; Valkó, Benedek
2012
A blowup result for the periodic NLS without gauge invariance. Zbl 1239.35149
2012
Modulation spaces, Wiener amalgam spaces, and Brownian motions. Zbl 1229.42021
Bényi, Árpád; Oh, Tadahiro
2011
Remarks on nonlinear smoothing under randomization for the periodic KdV and the cubic Szegő equation. Zbl 1387.35637
2011
White noise for KdV and mKdV on the circle. Zbl 1211.35243
2010
Invariance of the Gibbs measure for the Schrödinger-Benjamin-Ono system. Zbl 1205.35268
2009
Invariant Gibbs measures and a.s. global well posedness for coupled KdV systems. Zbl 1240.35477
2009
Invariance of the white noise for KdV. Zbl 1185.35237
2009
Periodic stochastic Korteweg-de Vries equation with additive space-time white noise. Zbl 1190.35202
2009
Diophantine conditions in global well-posedness for coupled KdV-type systems. Zbl 1173.35664
2009
Diophantine conditions in well-posedness theory of coupled KdV-type systems: local theory. Zbl 1178.35334
2009
Best constants for certain multilinear integral operators. Zbl 1116.26011
Bényi, Árpád; Oh, Choonghong
2006
all top 5

### Cited by 403 Authors

 46 Oh, Tadahiro 29 Yang, Bicheng 19 Tzvetkov, Nikolay 11 Wang, Yuzhao 10 Pocovnicu, Oana 8 Chen, Qiang 8 Okamoto, Mamoru 8 Sohinger, Vedran 7 Bényi, Árpád 7 Killip, Rowan 7 Visan, Monica 6 Deng, Yu 6 Kwon, Soonsik 6 Murphy, Jason 6 Nahmod, Andrea R. 6 Rassias, Michael Th. 6 Schippa, Robert 6 Thomann, Laurent 6 Visciglia, Nicola 5 Fu, Zunwei 5 Fujiwara, Kazumasa 5 Gubinelli, Massimiliano 5 Kikuchi, Hiroaki 5 Ozawa, Tohru 5 Staffilani, Gigliola 5 Yue, Haitian 4 Bhimani, Divyang G. 4 Cacciafesta, Federico 4 Carles, Rémi 4 Guardia, Marcel 4 Hani, Zaher 4 Ibrahim, Slim 4 Lu, Shanzhen 4 Luca, Renato 4 Moşincat, Răzvan O. 4 Pattakos, Nikolaos 4 Robert, Tristan 4 Soffer, Avraham 4 Sosoe, Philippe 4 Sun, Chenmin 4 Tsutsumi, Yoshio 4 Wang, Baoxiang 4 Yan, Wei 4 Zheng, Jiqiang 3 Akahori, Takafumi 3 Ambrosio, Vincenzo 3 Banica, Valeria 3 Bona, Jerry Lloyd 3 Bringmann, Björn 3 Cobos, Fernando 3 de Suzzoni, Anne-Sophie 3 Deya, Aurélien 3 Dodson, Benjamin G. 3 Fageot, Julien 3 Fernández-Cabrera, Luz M. 3 Forlano, Justin 3 Fröhlich, Jürg Martin 3 Genovese, Giuseppe 3 Germain, Pierre 3 Guo, Zihua 3 Knowles, Antti 3 Koch, Herbert 3 Kunstmann, Peer Christian 3 Kwak, Chulkwang 3 Lewin, Mathieu 3 Martínez Martínez, Antón 3 Maspero, Alberto 3 Procesi, Michela 3 Quastel, Jeremy 3 Schlein, Benjamin 3 Seong, Kihoon 3 Shi, Yanping 3 Soave, Nicola 3 Sugimoto, Mitsuru 3 Sy, Mouhamadou 3 Tolomeo, Leonardo 3 Unser, Michael A. 3 Wu, Qingyan 3 Yoon, Haewon 3 Zhang, Shuai 3 Zhao, Fayou 2 Beceanu, Marius 2 Burq, Nicolas 2 Carvajal, Xavier Paredes 2 Chaichenets, Leonid 2 Chatterjee, Sourav 2 Chen, Hongqiu 2 Cheng, Meifang 2 Cheng, Xing 2 Cheung, Kelvin 2 Correia, Simão 2 Cunanan, Jayson 2 Deng, Qingquan 2 Dinh, Van Duong 2 Erdoğan, Mehmet Burak 2 Georgiev, Vladimir S. 2 Gerard, Patrick 2 Haus, Emanuele 2 He, Leping 2 Herr, Sebastian ...and 303 more Authors
all top 5

### Cited in 121 Serials

 19 Journal of Differential Equations 17 Journal of Inequalities and Applications 15 Journal of Functional Analysis 15 Discrete and Continuous Dynamical Systems 14 Journal of Mathematical Analysis and Applications 12 Communications in Mathematical Physics 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 The Journal of Fourier Analysis and Applications 10 Communications on Pure and Applied Analysis 9 Archive for Rational Mechanics and Analysis 9 Communications in Partial Differential Equations 9 SIAM Journal on Mathematical Analysis 9 Journal of Evolution Equations 8 Journal of Mathematical Physics 8 Stochastic and Partial Differential Equations. Analysis and Computations 7 Advances in Mathematics 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Transactions of the American Mathematical Society 5 Proceedings of the American Mathematical Society 5 Calculus of Variations and Partial Differential Equations 5 Journal of Function Spaces 4 Journal of Statistical Physics 4 Applied Mathematics and Computation 4 Inventiones Mathematicae 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nagoya Mathematical Journal 3 Probability Theory and Related Fields 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Stochastic Processes and their Applications 3 Bulletin of the American Mathematical Society. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Applied and Computational Harmonic Analysis 3 Science China. Mathematics 3 Forum of Mathematics, Pi 3 Forum of Mathematics, Sigma 3 Annals of PDE 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Nonlinearity 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 Applied Mathematics and Optimization 2 Indiana University Mathematics Journal 2 Mathematische Annalen 2 Quarterly of Applied Mathematics 2 The Journal of Geometric Analysis 2 Annals of Mathematics. Second Series 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Analysis & PDE 2 Kyoto Journal of Mathematics 2 Evolution Equations and Control Theory 2 Open Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 Séminaire Laurent Schwartz. EDP et Applications 2 Transactions of the American Mathematical Society. Series B 1 Analysis Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Opuscula Mathematica 1 Electronic Journal of Probability 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Journal of the Australian Mathematical Society ...and 21 more Serials
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### Cited in 39 Fields

 299 Partial differential equations (35-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 58 Probability theory and stochastic processes (60-XX) 54 Dynamical systems and ergodic theory (37-XX) 42 Operator theory (47-XX) 37 Real functions (26-XX) 28 Quantum theory (81-XX) 23 Functional analysis (46-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Fluid mechanics (76-XX) 9 Special functions (33-XX) 9 Numerical analysis (65-XX) 6 Measure and integration (28-XX) 6 Ordinary differential equations (34-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of particles and systems (70-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)