16 citations · 78 across the 23 of their papers we have counts for
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math.AP2013★ 10 cited
Well-posedness and Ill-posedness for the cubic fractional Schrödinger equations
Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon +1
We study the low regularity well-posedness of the 1-dimensional cubic nonlinear fractional Schrödinger equations with Lévy indices . We consider both non-periodic and per…
math.AP2013★ 5 cited
Orbital stability of standing waves of a class of fractional Schrodinger equations with a general Hartree-type integrand
Y. Cho, M. M. Fall, H. Hajaiej +2
This article is concerned with the mathematical analysis of a class of a nonlinear fractional Schrodinger equations with a general Hartree-type integrand. We prove existence and un…
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…