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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|^{-b…
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 of…