U.S.-China Cooperative Research: Variational and TopologicalMethods in Nonlinear Analysis and Applications to Nonlinear Differential Equations

中美合作研究：非线性分析中的变分和拓扑方法及其在非线性微分方程中的应用

• 批准号: 9723489
• 负责人: Zhi-Qiang Wang
• 金额: $ 0.94万
• 依托单位: Utah State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-15 至 2000-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9723489&HistoricalAwards=false
• 关键词: U.S.; China; Cooperative; Research; Variational

9723489 Wang This award supports the initiation of collaborative research between Zhi-Qiang Wang, Utah State University, and Li Shujie, Institute of Mathematics, Chinese Academy of Sciences. The research concerns the development of new methods in calculus of variations, critical point theory, and Morse theory, and the application of these techniques to nonlinear differential equations. The project will bring together two groups in nonlinear analysis to work on a problem that requires the strengths of both groups to address. The Chinese co-PI has over forty research papers in relevant areas, and is responsible for the initiation of the concept of local linking, which is a powerful tool in critical point theory to deal with multiplicity results. The US PI has expertise in variational techniques and in the theory of Morse. The complementary expertise of the two groups should enable new insights into this field. Support on the Chinese side will be provided by the Chinese National Natural Science Foundation.

9723489 Wang这个奖项支持Zhi-Qiang Wang，犹他州立大学和中国科学院数学研究所的合作研究的启动。该研究涉及在变化，临界点理论和摩尔斯理论的计算中的新方法的发展，以及这些技术在非线性微分方程中的应用。 该项目将在非线性分析中汇集两个小组，以解决一个需要两组的优势解决问题的问题。 中国的竞赛在相关领域有40多个研究论文，并负责启动本地联系的概念，这是关键点理论中的强大工具，可用于处理多样性结果。美国PI在变分技术和摩尔斯理论方面具有专业知识。这两个小组的互补专业知识应使对该领域的新见解。中国国家自然科学基金会将提供中国方面的支持。