International: Project On Complex Vector Fields

该奖项支持天普大学的Shiferaw Berhanu博士和巴西圣卡洛斯联邦大学的Jorge G. Hounie博士之间的合作，研究具有光滑或实解析系数的复向量场系统解的一些性质。在要考虑的情况下，总是假定可积性条件成立。这些问题是由一个或多个复变量全纯函数的经典结果所激发的。本研究的结果对多变量函数理论和线性偏微分方程理论具有重要的应用价值。

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.