activity
20242026
collaborators

4 papers

math.AP2026

Global well-posedness and scattering for the defocusing energy supercritical NLS in high dimensions

Xuan Liu

We consider the defocusing energy-supercritical nonlinear Schrödinger equation in dimensions . Killip-Visan [Comm. Partial Differential Equatio…

math.AP2025

The defocusing energy-supercritical inhomogeneous NLS in four space dimension

Xuan Liu, Chengbin Xu

In this paper, we investigate the global well-posedness and scattering theory for the defocusing energy supcritical inhomogeneous nonlinear Schrödinger equation $iu_t + Δu =|x|^{…

math.AP2025

Scattering theory for the defocusing 3d NLS in the exterior of a strictly convex obstacle

Xuan Liu, Yilin Song, Jiqiang Zheng

In this paper, we investigate the global well-posedness and scattering theory for the defocusing nonlinear Schrödinger equation in the exterior domain $΅

math.AP2024

Global well-posedness and scattering for mass-critical inhomogeneous NLS when

Xuan Liu, Changxing Miao, Jiqiang Zheng

We prove global well-posedness and scattering for solutions to the mass-critical inhomogeneous nonlinear Schrödinger equation $i\partial_{t}u+Δu=\pm |x|^{-b}|u|^{\frac{4-2b}{d}}u…