Mathematical Sciences: Partial Differential Equations and Several Complex Variables

数学科学：偏微分方程和多个复变量

• 批准号: 9301345
• 负责人: Nancy Stanton
• 金额: $ 3.3万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-15 至 1996-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9301345&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Partial; Differential; Equations

9301345 Stanton The research entails questions of geometry and analysis concerning real hypersufaces in complex euclidean spaces. Techniques involve heat kernel methods and asymptotic analysis analogous to those employed in elliptic boundary value problems. Problems concerning the rigidity of these hypersurfaces will also be considered. Such research has possible significant applications to branches of mathematical physics, particularly general relativity theory.

9301345 Stanton这项研究涉及复杂欧氏空间中关于真实的超曲面的几何和分析问题。 技术涉及热核方法和渐近分析类似于椭圆边值问题。 关于这些超曲面的刚性问题也将被考虑。 这样的研究可能对数学物理的分支，特别是广义相对论有重要的应用。