Special Session 57: Inverse problems in PDE and geometry
Contents
We consider the scattering map introduced by Beals and Coifman and
Fokas and Ablowitz that may be used to transform one of the
Davey-Stewartson equations to a linear evolution. We give mapping
properties of this map on weighted $L^2$ Sobolev spaces that mimic
well-known properties of the Fourier transform.