Dun Zhao

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math.AP2025

Decay of solutions to one-dimensional inhomogeneous nonlinear SchrÃ¶dinger equations

Zhi-Yuan Cui, Yuan Li, Dun Zhao

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

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 SchrÃ¶dinger equation $i \partial_{t} u + I^ u = ∣ x ∣^{- b} ∣ u ∣^{I^} \pm u,$ where $0 < b < 1$ and $0 < I^\pm < \infty$ . This problem has been extensively stu…