International: Project On Complex Vector Fields

国际：复杂向量场项目

• 批准号: 0203005
• 负责人: Shiferaw Berhanu
• 金额: $ 1.97万
• 依托单位: Temple University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-08-01 至 2006-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0203005&HistoricalAwards=false
• 关键词: International; Project; Complex; Vector; Fields

This award supports collaboration between Dr. Shiferaw Berhanu of Temple University and Dr. Jorge G. Hounie of the Universidade Federal de Sao Carlos in Sao Carlos, Brazil to study a number of properties of solutions of systems of complex vector fields with smooth or real analytic coefficients. In cases to be considered, an integrability condition is always assumed to hold. These problems are motivated by classical results of holomorphic functions in one and several complex variables. Results from this research may have important applications to function theory in several variables and to the theory of linear partial differential equations.

该奖项支持Temple大学的Shiferaw Berhanu博士与巴西Sao Carlos联邦De Sao Carlos大学的Jorge G. Hounie博士之间的合作，以研究具有平稳或真实分析系数的复杂矢量系统解决方案的许多属性。在要考虑的情况下，始终假定具有集成性条件。这些问题是由一个和几个复杂变量中的全体形态功能的经典结果激发的。这项研究的结果可能具有重要的应用程序，可以在几个变量和线性偏微分方程理论中发挥作用理论。