26 citations · 274 across the 59 of their papers we have counts for
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On inhomogeneous Strichartz estimates for the Schrödinger equation
Sanghyuk Lee, Ihyeok Seo
In this paper we consider inhomogeneous Strichartz estimates in the mixed norm spaces which are given by taking temporal integration before spatial integration. We obtain some new…
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 , with Lévy index ${2d}…
On finite time blowup for mass-critical Hartree equations
Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon +1
We consider the fractional Schrödinger equations with focusing Hartree type nonlinearity. When the energy is negative, we use a Glassey's virial type argument to show the finite ti…
Square functions and maximal operators associated with radial Fourier multipliers
Sanghyuk Lee, Keith M. Rogers, Andreas Seeger
We begin with an overview on square functions for spherical and Bochner-Riesz means which were introduced by Eli Stein, and discuss their implications for radial multipliers and as…
Strichartz Estimates in Spherical Coordinates
Yonggeun Cho, Sanghyuk Lee
In this paper we study Strichartz estimates for dispersive equations which are defined by radially symmetric pseudo-differential operators, and of which initial data belongs to spa…