16 citations · 78 across the 23 of their papers we have counts for
4 papers · 1 filter
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…
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…
A Sobolev estimate for the adjoint restriction operator
Yonggeun Cho, Zihua Guo, Sanghyuk Lee
In this note we consider the adjoint restriction estimate for hypersurface under additional regularity assumption. We obtain the optimal - estimate and its mixed norm gen…
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…