Gyeongha Hwang

most citedProfile decompositions and Blowup phenomena of mass critical fractional Schrödinger equations

15 citations · 22 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2013★ 2 cited

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…

math.AP2012★ 5 cited

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 $i \partial_{t} u = (m^{2} - Δ)^{\frac{α}{2}} u + F (u) in R^{1 + n},$ where $n \geq 1$ , $m \geq 0$ , $1 < α < 2$ ,…

math.AP2012★ 15 cited

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 $R^{1 + d}, d \geq 2$ , with Lévy index ${2d}…