论文标题
Davey-Stewartson II方程的反射系数的大$ | k | $行为
Large $|k|$ behavior for the reflection coefficient for Davey-Stewartson II equations
论文作者
论文摘要
在电阻抗层析成像中出现的D-BAR方程系统的复杂几何光学解决方案的研究以及可集成的Davey-Stewartson II方程的散射理论，用于频谱参数$ k $ in \ cite {klsjst20}中的大量值，以扩展到反射系数。对于潜在的$ Q $，在某些域上具有紧凑的支持，并具有平稳的严格凸边界，因此提供了改进的渐近关系。
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 $Ω$ with smooth strictly convex boundary, improved asymptotic relations are provided.
