4 papers · 1 filter
Asymptotic Stability of multi-solitons for d Supercritical NLS
Gong Chen, Abdon Moutinho
We consider the one-dimensional -supercritical nonlinear Schrödinger equation \[ i\partial_t ψ+ \partial_x^2 ψ+ |ψ|^{2k}ψ= 0, \qquad k>2. \] In this regime solitary waves are…
Asymptotic stability of the sine-Gordon kink
Gong Chen, Jonas Luhrmann
We establish the full asymptotic stability of the sine-Gordon kink outside symmetry under small perturbations in weighted Sobolev norms. Our proof consists of a space-time resonanc…
Stability estimates for the recovery of the nonlinearity from scattering data
Gong Chen, Jason Murphy
We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schrödinger equations of the form \[ (i\partia…
Recovery of the nonlinearity from the modified scattering map
Gong Chen, Jason Murphy
We consider a class of one-dimensional nonlinear Schrödinger equations of the form \[ (i\partial_t+Δ)u = [1+a]|u|^2 u. \] For suitable localized functions , such equations admit…