论文标题
大型$ | k | $ d-bar问题的行为对于具有光滑边界的域
Large $|k|$ behavior of d-bar problems for domains with a smooth boundary
论文作者
论文摘要
在先前关于D-BAR方程系统的复杂几何光学解决方案的大型$ | K | $行为的工作中,我们详细介绍了某些潜力是具有实用分析边界的严格凸起集的特征功能。在这里,我们通过使用几乎全体形态函数将结果扩展到具有光滑边界的集合情况。
In a previous work on the large $|k|$ behavior of complex geometric optics solutions to a system of d-bar equations, we treated in detail the situation when a certain potential is the characteristic function of a strictly convex set with real-analytic boundary. We here extend the results to the case of sets with smooth boundary, by using almost holomorphic functions.