2 papers
math.AP2020
Global well-posedness and long-time behavior of the fractional NLS
Mouhamadou Sy, Xueying Yu
In this paper, our discussion mainly focuses on equations with energy supercritical nonlinearities. We establish probabilistic global well-posedness (GWP) results for the cubic Sch…
math.AP2020
On the high-low method for NLS on the hyperbolic space
Gigliola Staffilani, Xueying Yu
In this paper, we first prove that the cubic, defocusing nonlinear Schrödinger equation on the two dimensional hyperbolic space with radial initial data in is g…