Mathematical Sciences: Linear and Non-Linear Scattering

数学科学：线性和非线性散射

• 批准号: 9505530
• 负责人: Maciej Zworski
• 金额: $ 6万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-07-01 至 1998-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9505530&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Linear; Non; Scattering

9505530 Zworski The proposed research lies in the general area of spectral and scattering theory. More specifically, the proposer wants to investigate distribution of resonances and geometric properties of the scattering matrix. This research deals with a class of differential equations arising in solid state physics and scattering phenomena by convex obstacles. The investigator seeks to lay a mathematical foundation for scattering phenomena and to consider more sophisticated scattering problems, say scattering on finite volume hyperbolic surfaces.

[505530] Zworski提出的研究属于光谱和散射理论的一般领域。更具体地说，提议者想要研究共振分布和散射矩阵的几何性质。本文研究了固体物理中的一类微分方程和凸障碍物散射现象。研究者试图为散射现象奠定数学基础，并考虑更复杂的散射问题，如有限体积双曲表面上的散射。