26 citations · 274 across the 59 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…
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…
Generalized Strichartz estimates and scattering for 3D Zakharov system
Zihua Guo, Sanghyuk Lee, Kenji Nakanishi +1
We obtain scattering for the 3D Zakharov system with non-radial small data in the energy space with angular regularity of degree one. The main ingredient is a generalized Strichart…
Restriction Estimates for space curves with respect to general measures
Seheon Ham, Sanghyuk Lee
In this paper we consider adjoint restriction estimates for space curves with respect to general measures and obtain optimal estimates when the curves satisfy a finite type conditi…