30 citations · 47 across the 11 of their papers we have counts for
Showing 2023 · math.APShow all
2 papers · 2 filters
math.AP2023
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…
math.AP2023
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…