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math.AP2026
On the final-state problem for the 1D cubic NLS
Gong Chen, Yongyu Qiang
We consider the one-dimensional cubic nonlinear Schrödinger equation $$ \ii\partial_tu+\frac12\partial_{xx}u=\la|u|^2u,\,λ=\pm 1 $$ and solve the final-state (modified wave operato…
math.AP2025
Scattering Theory and dispersive estimates for general d Charge Transfer Models
Gong Chen, Abdon Moutinho
We continue our study of scattering theory and dispersive properties for one-dimensional charge transfer models, namely linear Schrödinger equations with multiple moving potentials…
math.AP2025
Dispersive analysis for one-dimensional charge transfer models
Gong Chen, Abdon Moutinho
In this paper, we study one-dimensional linear Schrödinger equations with multiple moving potentials, known as transfer charge models. Focusing on the non-self-adjoint setting that…