Probabilistic Radial Strichartz Estimates and Its Application
G Hwang - Funkcialaj Ekvacioj, 2024 - jstage.jst.go.jp
In this paper, we consider the Cauchy problem for the linear dispersive equations. We
establish the probabilistic radial Strichartz estimates for a randomization preserving the …
establish the probabilistic radial Strichartz estimates for a randomization preserving the …
Small data scattering of Hartree type fractional Schrödinger equations in dimension 2 and 3
Y Cho, T Ozawa - Journal of the Korean Mathematical Society, 2018 - koreascience.kr
In this paper we study the small-data scattering of the d dimensional fractional $ Schr {\ddot
{o}} dinger $ equations with d= 2, 3, $ L {\acute {e}} vy $ index 1< ${\alpha} $< 2 and Hartree …
{o}} dinger $ equations with d= 2, 3, $ L {\acute {e}} vy $ index 1< ${\alpha} $< 2 and Hartree …
Well-posedness and Scattering for the Critical Fractional Schrödinger Equations
G Hwang - Funkcialaj Ekvacioj, 2020 - jstage.jst.go.jp
We consider the Cauchy problem for the critical fractional Schrödinger equation with the
power type nonlinearity. Hong-Sire [13] proved the local wellposedness, small data global …
power type nonlinearity. Hong-Sire [13] proved the local wellposedness, small data global …