Large|k|Behavior for the Reflection Coefficient for Davey-Stewartson II Equations
Résumé
The study of complex geometric optics solutions to a system of d-bar equations appearing in the context of electrical impedance tomography and the scattering theory of the integrable Davey–Stewartson II equations for large values of the spectral parameter in [C. Klein, J. Sjöstrand, and N. Stoilov, Comm. Pure Appl. Math., to appear] is extended to the reflection coefficient. For the case of potentials with compact support on some domain with smooth strictly convex boundary, improved asymptotic relations are provided.