Yonggeun Cho

activity

20092013

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

4 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}…

math.AP2009

Mixed norm estimates of Schrödinger waves and their applications

Myeongju Chae, Yonggeun Cho, Sanghyuk Lee

In this paper we establish mixed norm estimates of interactive Schrödinger waves and apply them to study smoothing properties and global well-posedness of the nonlinear Schrödinger…