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.

该奖项支持坦普尔大学的Shiferaw Berhanu博士和Jorge G. Hounie的大学联邦德圣卡洛斯在圣卡洛斯，巴西研究了一些性质的解决方案系统的复杂向量场与光滑或真实的分析系数。在要考虑的情况下，可积性条件总是假设成立。这些问题的动机是经典的结果全纯函数在一个和多个复变量。从这项研究的结果可能有重要的应用函数理论中的几个变量和线性偏微分方程的理论。