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arXiv · 2203.14650

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

Christian Klein·Johannes Sjöstrand·Nikola Stoilov
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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 $k$ in \cite{KlSjSt20} is extended to the reflection coefficient. For the case of potentials $q$ with compact support on some domain $\Omega$ with smooth strictly convex boundary, improved asymptotic relations are provided.

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Christian Klein, Johannes Sjöstrand, Nikola Stoilov. 2022-03-28. Large $|k|$ behavior for the reflection coefficient for Davey-Stewartson II equations. https://arxiv.org/abs/2203.14650

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