  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 $a\in W^{1,\infty}$.

Analysis of PDEs