Xuan Liu

collaborators

3 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 SchrÃ¶dinger equation $i \partial_{t} u + I^ u = ∣ u ∣^{p} u$ in dimensions $d \geq 5$ . 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 SchrÃ¶dinger equation $iu_t + Îu =|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 SchrÃ¶dinger equation $i u_{t} + I^_{I^} c ◯ u = ∣ u ∣^{I^} \pm u$ in the exterior domain $Î…