16 citations · 98 across the 25 of their papers we have counts for
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Profile decompositions and Blowup phenomena of mass critical fractional Schrödinger equations
Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon +1
We study, under the radial symmetry assumption, the solutions to the fractional Schrödinger equations of critical nonlinearity in , with Lévy index ${2d}…
On finite time blowup for mass-critical Hartree equations
Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon +1
We consider the fractional Schrödinger equations with focusing Hartree type nonlinearity. When the energy is negative, we use a Glassey's virial type argument to show the finite ti…
Rough solutions of the fifth-order KdV equations
Zihua Guo, Chulkwang Kwak, Soonsik Kwon
We consider the Cauchy problem of the fifth-order equation arising from the Korteweg-de Vries (KdV) hierarchy u_t + u_{xxxxx} + c_1u_{x} u_{xx} + c_2u u_{x} = 0 x,t \in \R We prove…
Nonexistence of soliton-like solutions for defocusing generalized KdV equations
Soonsik Kwon, Shuanglin Shao
In this short note, we consider the global dynamics of the defocusing generalized KdV equations: u_t + u_{xxx} = (|u|^{p-1}u)_x. We use Tao's theorem that the energy moves faster t…