15 citations · 26 across the 7 of their papers we have counts for
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Global well-posedness and scattering of the two dimensional cubic focusing nonlinear Schrödinger system
Xing Cheng, Zihua Guo, Gyeongha Hwang +1
In this article, we prove the global well-posedness and scattering of the cubic focusing infinite coupled nonlinear Schrödinger system on below the threshold in $L_x…
On the modified scattering of -d Hartree type fractional Schrödinger equations with Coulomb potential
Yonggeun Cho, Gyeongha Hwang, Changhun Yang
In this paper we study 3-d Hartree type fractional Schrödin-ger equations: \begin{equation} i\partial_{t}u-|\nabla|^αu = λ\left(|x|^{-γ} *| u|^{2} \right)u,\;\;1 < α< 2,\;\;0 < γ<…
On the Neumann Problem of Hardy-Sobolev critical equations with the multiple singularities
Masato Hashizume, Chun-Hsiung Hsia, Gyeongha Hwang
Let and be bounded domain. We study the existence of positive solution of \begin{align*} \left\{ \begin{array}{l} -Δu + λu =…
Almost sure local wellposedness of energy critical fractional Schrödinger equations with hartree nonlinearity
Gyeongha Hwang
We consider a Cauchy problem of energy-critical fractional Schrödinger equation with Hartree nonlinearity below the energy space. Using a method of randomization of functions on $\…
On the orbital stability of fractional Schrödinger equations
Yonggeun Cho, Gyeongha Hwang, Hichem Hajaiej +1
We show the existence of ground state and orbital stability of standing waves of fractional Schrödinger equations with power type nonlinearity. For this purpose we establish the un…
On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity
Yonggeun Cho, Gyeongha Hwang, Hichem Hajaiej +1
We study the Cauchy problem for the fractional Schrödinger equation where , , ,…