Mathematical Sciences: Operator Theory and Differential Equations

数学科学：算子理论和微分方程

• 批准号: 9103830
• 负责人: Jerome Goldstein
• 金额: $ 3.49万
• 依托单位: Tulane University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-15 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9103830&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Operator; Theory; Differential

This project will develop operator theory methods for differential equations. The main areas to be studied are Thomas- Fermi theory, nonlinear partial differential equations, semilinear problems, singular perturbation, and semigroups of operators. The questions to be addressed have been motivated by models arising in science and engineering. Understanding of the fundamental properties of these models has profound implications in areas such as physics, biology, and geology.

该项目将开发算子理论方法， 微分方程 研究的主要领域是托马斯- 费米理论，非线性偏微分方程， 半线性问题，奇异摄动，半群 运营商 要解决的问题是由模型激发的 在科学和工程学中兴起。 理解 这些模型的基本性质具有深远的意义 在物理学、生物学和地质学等领域。