3 papers
math.AP2024
Uniform periodic counterexamples to Carleson's convergence problem with polynomial symbols
Daniel Eceizabarrena, Xueying Yu
In Carleson's convergence problem for dispersive equations in the periodic setting , we prove that the Sobolev exponent is ne…
math.AP2024
Global well-posedness and scattering for the defocusing septic one-dimensional NLS via new smoothing and almost Morawetz estimates
Zachary Lee, Xueying Yu
In this paper, we show that the one dimensional septic nonlinear Schrödinger equation is globally well-posed and scatters in when . We prove new smoot…
math.AP2023
Global well-posedness and scattering for the defocusing mass-critical Schrödinger equation in the three-dimensional hyperbolic space
Bobby Wilson, Xueying Yu
In this paper, we prove that the initial value problem for the mass-critical defocusing nonlinear Schrödinger equation on the three-dimensional hyperbolic space is g…