Zhiyuan Cui

collaborators

2 papers

math.AP2025

Well-posedness and scattering of odd solutions for the defocusing INLS in one dimension

Zhi-Yuan Cui, Yuan Li, Dun Zhao

We consider the defocusing inhomogeneous nonlinear Schrödinger equation $i \partial_{t} u + Δ u = ∣ x ∣^{- b} ∣ u ∣^{α} u,$ where $0 < b < 1$ and $0 < α < \infty$ . This problem has been extensively studied…

math.AP2024

Decay of solutions to one-dimensional inhomogeneous nonlinear Schrödinger equations

Zhi-Yuan Cui, Yuan Li, Dun Zhao

We investigate the decay estimates of global solutions for a class of one-dimensional inhomogeneous nonlinear Schrödinger equations. While most existing results focus on spatial di…