Large ∣k∣|k| behavior for the reflection coefficient for Davey-Stewartson II equations

preprint2022arXivOpen access

Abstract

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 kk in \cite{KlSjSt20} is extended to the reflection coefficient. For the case of potentials qq with compact support on some domain ΩΩ with smooth strictly convex boundary, improved asymptotic relations are provided.

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