光滑边界域上d-bar问题的大$|k|$行为

arXiv: Analysis of PDEs Pub Date : 2020-10-09 DOI:10.4171/ecr/18-1/15

C. Klein, J. Sjostrand, N. Stoilov

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引用次数: 1

摘要

在前人关于d-bar方程组复几何光学解的大$|k|$行为的研究中，我们详细地讨论了某一势是具有实解析边界的严格凸集的特征函数的情况。本文利用概全纯函数，将结果推广到具有光滑边界的集合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Large $|k|$ behavior of d-bar problems for domains with a smooth boundary

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.

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来源期刊

arXiv: Analysis of PDEs

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