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Soonsik Kwon

KAIST

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Publication

Featured researches published by Soonsik Kwon.

Journal D Analyse Mathematique | 2018

Orbital stability of solitary waves for derivative nonlinear Schrödinger equation

Soonsik Kwon; Yifei Wu

In this paper, we show the orbital stability of solitons arising in the cubic derivative nonlinear Schrödinger equations. We consider the zero mass case that is not covered by earlier works. As this case enjoys L2 scaling invariance, we expect orbital stability (up to scaling symmetry) in addition to spatial and phase translations. We also show a self-similar type blow up criterion of solutions with the critical mass 4π.

Discrete and Continuous Dynamical Systems | 2011

On the mass-critical generalized KdV equation

Rowan Killip; Soonsik Kwon; Shuanglin Shao; Monica Visan

Nonlinear Analysis-theory Methods & Applications | 2013

Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations

Yonggeun Cho; Gyeongha Hwang; Soonsik Kwon; Sanghyuk Lee

Journal D Analyse Mathematique | 2012

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

Journal of Differential Equations | 2008

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

Soonsik Kwon

Discrete and Continuous Dynamical Systems | 2015

WELL-POSEDNESS AND ILL-POSEDNESS FOR THE CUBIC FRACTIONAL SCHRODINGER EQUATIONS

Yonggeun Cho; Gyeongha Hwang; Soonsik Kwon; Sanghyuk Lee

Communications in Mathematical Physics | 2013

Poincaré-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS

Zihua Guo; Soonsik Kwon; Tadahiro Oh

Proceedings of the Royal Society of Edinburgh: Section A Mathematics | 2015

On finite time blow-up for the mass-critical Hartree equations

Yonggeun Cho; Gyeongha Hwang; Soonsik Kwon; Sanghyuk Lee

Journal of Functional Analysis | 2013

Rough solutions of the fifth-order KdV equations

Zihua Guo; Chulkwang Kwak; Soonsik Kwon

arXiv: Analysis of PDEs | 2012

On finite time blowup for mass-critical Hartree equations

Yonggeun Cho; Gyeongha Hwang; Soonsik Kwon; Sanghyuk Lee

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Sanghyuk Lee

Seoul National University

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Yonggeun Cho

Yonsei University

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Gyeongha Hwang

National Taiwan University

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Tadahiro Oh

University of Edinburgh

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Tristan Roy

Nagoya University

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Zihua Guo

Peking University

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Shuanglin Shao

University of Kansas

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James Colliander

University of Toronto

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Chulkwang Kwak

KAIST

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Sun-Ho Choi

Kyung Hee University

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