Stability estimates for the recovery of the nonlinearity from scattering data

Gong Chen, Jason Murphy

Published 2023-05-10Version 1

We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schr\"odinger equations of the form \[ (i\partial_t+\Delta)u = a(x)|u|^p u \] in three space dimensions, with $p\in[\tfrac43,4]$ and $a\in W^{1,\infty}$.