Mathematical Sciences: Microlocal Methods In Analysis

该项目将在部分领域开发微局部方法。 微分方程和多个复变量。 主要 要解决的问题是解决的规律性， 一阶偏微分方程的解析正则性 双重特征和Szego内核。 辩论话题 根据PI和他的最新结果进行分析， 合作者 该项目考虑了最先进的数学 问题. 应用数学的广泛领域将受益于 这项研究的结果。

This project will develop microlocal methods in partial differential equations and several complex variables. The main problems to be undertaken are the regularity of solutions to first order PDEs, the analytic regularity for operators with double characteristics, and the Szego kernel. The questions to be analyzed build on recent results by the PI and his collaborators. The project considers state of the art mathematical questions. Ample areas of applied mathematics will benefit from the results of this research.