Large $|k|$ behavior for the reflection coefficient for Davey-Stewartson II equations
Analysis of PDEs
2022-03-29 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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 in \cite{KlSjSt20} 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.
Cite
@article{arxiv.2203.14650,
title = {Large $|k|$ behavior for the reflection coefficient for Davey-Stewartson II equations},
author = {Christian Klein and Johannes Sjöstrand and Nikola Stoilov},
journal= {arXiv preprint arXiv:2203.14650},
year = {2022}
}