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papers

Publications (20)

math.AP2016

Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle

Jaywan Chung, Zihua Guo, Soonsik Kwon +1

math.AP2011

Bilinear local smoothing estimate for Airy equation

Soonsik Kwon, Tristan Roy

math.AP2011

On unconditional well-posedness of modified KdV

Soonsik Kwon, Tadahiro Oh

math.AP2014

On finite time blowup for mass-critical Hartree equations

Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon +1

math.AP2012

Nonexistence of soliton-like solutions for defocusing generalized KdV equations

Soonsik Kwon, Shuanglin Shao

math.AP2009

Global well-posedness for the $L^2$ critical Hartree equation on $\bbr^n$, $n\ge 3$

Myeongju Chae, Soonsik Kwon

math.AP2011

A remark on normal forms and the "upside-down" I-method for periodic NLS: growth of higher Sobolev norms

James Colliander, Soonsik Kwon, Tadahiro Oh

math.AP2018

Scattering for Defocusing generalized Benjamin-Ono Equation in the Energy Space

Kihyun Kim, Soonsik Kwon

math.AP2016

Nonsqueezing property of the coupled KdV type system without Miura transform

Sunghyun Hong, Soonsik Kwon

math.AP2012

Rough solutions of the fifth-order KdV equations

Zihua Guo, Chulkwang Kwak, Soonsik Kwon

math.AP2016

Scattering of rough solutions of the nonlinear Klein-Gordon equations in 3D

Soonsik Kwon, Tristan Roy

math.AP2014

Profile decompositions of fractional Schrödinger equations with angularly regular data

Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon +1

math.AP2011

Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS

Zihua Guo, Soonsik Kwon, Tadahiro Oh

math.AP2007

Well-posedness and ill-posedness of the fifth order modifed KdV equation

Soonsik Kwon

math.AP2007

On the fifth order KdV equation: local well-posedness and lack of uniform continuity of the solution map

Soonsik Kwon

math.AP2014

The stability of nonlinear Schrödinger equations with a potential in high Sobolev norms revisited

Myeongju Chae, Soonsik Kwon

math.AP2009

On the mass-critical generalized KdV equation

Rowan Killip, Soonsik Kwon, Shuanglin Shao +1

math.AP2014

Well-posedness and Ill-posedness for the cubic fractional Schrödinger equations

Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon +1

math.AP2012

Profile decompositions and Blowup phenomena of mass critical fractional Schrödinger equations

Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon +1

math.AP2017

Global existence versus finite time blowup dichotomy for the system of nonlinear Schrödinger equations

Younghun Hong, Soonsik Kwon, Haewon Yoon