Seungly Oh

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All published works
Action Title Year Authors
+ PDF Chat On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ 2024 Ryan McConnell
Seungly Oh
+ PDF Chat The Kato-Ponce inequality with polynomial weights 2022 Seungly Oh
Xinfeng Wu
+ PDF Chat Smoothing and growth bound of periodic generalized Korteweg–De Vries equation 2021 Seungly Oh
Atanas Stefanov
+ PDF Chat Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle 2021 Bradley Isom
Dionyssios Mantzavinos
Seungly Oh
Atanas Stefanov
+ The Kato-Ponce Inequality with Polynomial Weights 2021 Seungly Oh
Xinfeng Wu
+ Polynomial Bound and Nonlinear Smoothing for the Benjamin-Ono Equation on the Circle. 2020 Bradley Isom
Dionyssios Mantzavinos
Seungly Oh
Atanas Stefanov
+ On $L^1$ endpoint Kato–Ponce inequality 2020 Seungly Oh
Xinfeng Wu
+ Smoothing and growth bound of periodic generalized Korteweg-de Vries equation 2020 Seungly Oh
Atanas Stefanov
+ Polynomial Bound and Nonlinear Smoothing for the Benjamin-Ono Equation on the Circle 2020 Bradley Isom
Dionyssios Mantzavinos
Seungly Oh
Atanas Stefanov
+ PDF Chat Stabilization of dispersion-generalized Benjamin-Ono 2019 Cynthia Flores
Seungly Oh
Derek L. Smith
+ Stabilization of Dispersion Generalized Benjamin Ono 2017 Cynthia Flores
Seungly Oh
Derek L. Smith
+ Stabilization of Dispersion Generalized Benjamin Ono 2017 Cynthia Flores
Seungly Oh
Derek Smith
+ The Kato-Ponce Inequality 2013 Loukas Grafakos
Seungly Oh
+ Resonant phase-shift and global smoothing of the periodic Korteweg-de Vries equation in low regularity settings 2013 Seungly Oh
+ The Kato-Ponce Inequality 2013 Loukas Grafakos
Seungly Oh
+ PDF Chat Improved local well-posedness for the periodic “good” Boussinesq equation 2013 Seungly Oh
Atanas Stefanov
+ The Kato-Ponce Inequality 2013 Loukas Grafakos
Seungly Oh
+ On quadratic Schrödinger equations in <b>R</b> <sup>1+1</sup> : a normal form approach 2012 Seungly Oh
Atanas Stefanov
+ Improved local well-posedness for the periodic "good" Boussinesq equation 2012 Seungly Oh
Atanas Stefanov
+ Resonant phase-shift and global smoothing of the periodic Korteweg-de Vries in low regularity settings 2012 Seungly Oh
+ Normal form approach for dispersive equations with low-regularity data 2012 Seungly Oh
+ Improved local well-posedness for the periodic "good" Boussinesq equation 2012 Seungly Oh
Atanas Stefanov
+ Local well-posedness for quadratic Schr\ 2011 Seungly Oh
Atanas Stefanov
+ On the periodic Korteweg-de Vries equation: a normal form approach 2011 Seungly Oh
+ Local well-posedness for quadratic Schrödinger equations in $\mathbf{R^{1+1}}$: a normal form approach 2011 Seungly Oh
Atanas Stefanov
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations 1993 Jean Bourgain
10
+ Nonlinear Dispersive Equations 2006 Terence Tao
10
+ Normal forms and quadratic nonlinear Klein‐Gordon equations 1985 Jalal Shatah
10
+ PDF Chat On the regularization mechanism for the periodic Korteweg–de Vries equation 2011 Anatoli Babin
Alexei Ilyin
Edriss S. Titi
7
+ PDF Chat Global Smoothing for the Periodic KdV Evolution 2012 M. Burak Erdoğan
Nikolaos Tzirakis
7
+ PDF Chat A bilinear estimate with applications to the KdV equation 1996 Carlos E. Kenig
Gustavo Ponce
Luis Vega
6
+ PDF Chat Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations 2003 Michael Christ
J. Colliander
T. Tao
5
+ None 1996 Jean Bourgain
5
+ Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation 1991 Francis Michael Christ
Michael I. Weinstein
4
+ PDF Chat Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations 2001 Terence Tao
4
+ Commutator estimates and the euler and navier‐stokes equations 1988 Tosio Kato
Gustavo Ponce
4
+ Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation 2009 Nobu Kishimoto
4
+ PDF Chat Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation 2001 Kenji Nakanishi
Hideo Takaoka
Yoshio Tsutsumi
4
+ Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
4
+ None 2004 Thomas Kappeler
Peter Topalov
4
+ Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation 2005 Ioan Bejenaru
Terence Tao
4
+ Local well-posedness for the Cauchy problem of the quadratic Schrödinger equation with nonlinearity $\bar u^2$ 2008 Nobu Kishimoto
4
+ PDF Chat Bounds on the growth of high Sobolev norms of solutions to nonlinear Schroedinger equations on $\mathbb{R}$ 2011 Vedran Sohinger
3
+ Classical Fourier Analysis 2014 Loukas Grafakos
3
+ Ill-Posedness Issues for the Benjamin--Ono and Related Equations 2001 Luc Molinet
Jean‐Claude Saut
Nikolay Tzvetkov
3
+ PDF Chat Bilinear Sobolev–PoincarĂ© Inequalities and Leibniz-Type Rules 2012 FrĂ©dĂ©ric Bernicot
Diego Maldonado
Kabe Moen
Virginia Naibo
3
+ PDF Chat Classical and Multilinear Harmonic Analysis 2013 Camil Muscalu
Wilhelm Schlag
3
+ MULTILINEAR OPERATORS IN HARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS (Harmonic Analysis and Nonlinear Partial Differential Equations) 2012 Loukas Grafakos
3
+ PDF Chat Low regularity conservation laws for integrable PDE 2018 Rowan Killip
Monica ViƟan
Xiaoyi Zhang
3
+ PDF Chat A note on ill posedness for the KdV equation 2011 Luc Molinet
3
+ PDF Chat Space-time resonances 2009 Jalal Shatah
3
+ Resonant phase-shift and global smoothing of the periodic Korteweg-de Vries equation in low regularity settings 2013 Seungly Oh
3
+ Smoothing for the fractional Schroedinger equation on the torus and the real line 2019 M. Burak Erdoğan
T.B. Guerel
Nikolaos Tzirakis
3
+ PDF Chat GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H<sup>1</sup>(<b>R</b>) 2004 Terence Tao
3
+ On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations 1997 Gigliola Staffilani
3
+ PDF Chat Global solutions for the gravity water waves equation in dimension 3 2009 Pierre Germain
Nader Masmoudi
Jalal Shatah
3
+ Local well-posedness for quadratic Schrödinger equations in $\mathbf{R^{1+1}}$: a normal form approach 2011 Seungly Oh
Atanas Stefanov
3
+ PDF Chat Conserved energies for the cubic nonlinear Schrödinger equation in one dimension 2018 Herbert Koch
Daniel Tataru
3
+ Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
3
+ PDF Chat Quadratic forms for the 1-D semilinear Schrödinger equation 1996 Carlos E. Kenig
Gustavo Ponce
Luis Vega
3
+ PDF Chat Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation 2009 Luiz Gustavo Farah
3
+ PDF Chat Bi-parameter paraproducts 2004 Camil Muscalu
Jill Pipher
Terence Tao
Christoph Thiele
3
+ Existance and Uniqueness for Boussinesq type equations on a circle 1996 Yung Fu Fang
Manoussos G. Grillakis
3
+ PDF Chat Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation 1988 Jerry L. Bona
Robert L. Sachs
3
+ On the periodic “good” Boussinesq equation 2009 Luiz Gustavo Farah
M. Scialom
3
+ PDF Chat Global well-posedness in the energy space for the Benjamin–Ono equation on the circle 2006 Luc Molinet
2
+ On quadratic Schrödinger equations in <b>R</b> <sup>1+1</sup> : a normal form approach 2012 Seungly Oh
Atanas Stefanov
2
+ The hierarchy of the Benjamin-Ono equation 1981 A. S. Fokas
Benno Fuchssteiner
2
+ Benjamin—Ono-related equations and their solutions 1979 K. M. Case
2
+ PDF Chat Multilinear estimates for periodic KdV equations, and applications 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
2
+ PDF Chat On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations 2003 Carlos E. Kenig
Kenneth D. Koenig
2
+ The Cauchy problem for quasi-linear Schrïżœdinger equations 2004 Carlos E. Kenig
Gustavo Ponce
Luis Vega
2
+ PDF Chat On the global well-posedness of the Benjamin-Ono equation 1991 Gustavo Ponce
2
+ The Kato-Ponce Inequality 2013 Loukas Grafakos
Seungly Oh
2
+ PDF Chat Global well-posedness in L 2 for the periodic Benjamin-Ono equation 2008 Luc Molinet
2