4 papers
Asymptotic Stability of multi-solitons for d Supercritical NLS
Gong Chen, Abdon Moutinho
We consider the one-dimensional -supercritical nonlinear Schrödinger equation \[ i\partial_t Ï+ \partial_x^2 Ï+ |Ï|^{2k}Ï= 0, \qquad k>2. \] In this regime solitary waves…
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 opera…
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 potential…
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 tha…