Kwon, Soonsik

1. Well-posedness and Ill-posedness for the cubic fractional Schrödinger equations
   2013/11/01 by Cho, Yonggeun, Hwang, Gyeongha, Kwon, Soonsik +1 · 4 citations
   #35Q40 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
2. Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS
   2011/03/28 by Zihua Guo, Soonsik Kwon, Guo, Zihua +3 · 4 citations
   Mathematics · Physics and Astronomy · #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations
3. Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line
   2018/05/22 by Kwon, Soonsik, Oh, Tadahiro, Yoon, Haewon · 2 citations
   #35Q53 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. On unconditional well-posedness of modified KdV
   2010/07/01 by Kwon, Soonsik, Oh, Tadahiro · 2 citations
   #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics
5. Construction of smooth chiral finite-time blow-up solutions to Calogero--Moser derivative nonlinear Schrödinger equation
   2024/04/15 by Kim, Kihyun, Kim, Taegyu, Kwon, Soonsik · 3 citations
   #35B44 (primary) #35Q55 #37K10 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. Soliton resolution for Calogero--Moser derivative nonlinear Schrödinger equation
   2024/08/23 by Kim, Taegyu, Kwon, Soonsik · 3 citations
   #35B40 (primary) #35Q55 #37K10 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics
7. Global existence versus finite time blowup dichotomy for the system of nonlinear Schrödinger equations
   2017/12/19 by Younghun Hong, Hong, Younghun, Soonsik Kwon +3 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Spectral Theory in Mathematical Physics
8. The modified scattering for Dirac equations of scattering-critical nonlinearity
   2022/08/25 by Cho, Yonggeun, Kwon, Soonsik, Lee, Kiyeon +1 · 2 citations
   #35Q40 #35Q41 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. A remark on normal forms and the "upside-down" I-method for periodic NLS: growth of higher Sobolev norms
   2010/10/12 by Colliander, James, Kwon, Soonsik, Oh, Tadahiro · 1 citation
   #35Q55 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
10. Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle
    2015/09/27 by Chung, Jaywan, Guo, Zihua, Kwon, Soonsik +1 · 1 citation
    #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
11. Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equation
    2020/10/07 by Kim, Kihyun, Kwon, Soonsik, Oh, Sung-Jin · 1 citation
    #35B44 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Blow-up construction and instability for mass-critical half-wave equation with slightly superthreshold mass
    2025/08/11 by J. Park, Soonsik Kwon, Park, Jeongheon +3 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Nonlinear Waves and Solitons
13. Blow-up dynamics for radial self-dual Chern-Simons-Schrödinger equation with prescribed asymptotic profile
    2024/09/20 by Kim, Kihyun, Kwon, Soonsik, Oh, Sung-Jin · 1 citation
    #35B44 #35Q55 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics