U.S.-India Cooperative Research: Spectral and Inverse Spectral Problems for Schroedinger Operators

美印合作研究：薛定谔算子的谱和逆谱问题

• 批准号: 9810322
• 负责人: Peter Hislop
• 金额: $ 3.3万
• 依托单位: University of Kentucky Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-10-01 至 2003-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9810322&HistoricalAwards=false
• 关键词: U.S.; India; Cooperative; Research; Spectral

Description: This award in mathematics is for the US-India Cooperative Research: Spectral and Inverse Spectral Problems for Schroedinger Operators. The collaborators are from the University of Kentucky, Brown University, and the Institute of Mathematical Sciences, Chenni. The six co-principal investigators will investigate aspects of the spectral properties of random Schroedinger operators, inverse problems for almost periodic operators, trace formulas for Schroedinger operators, and applications of the KAM theorem. The PIs will also host a small international workshop on Schroedinger operator theory in New Delhi. Scope: This research has developed from productive interactions at workshops and a summer school organized by co-PIs K.B. Sinha of the Indian Statistical Institute, New Delhi and M. Krishna of the Institute of Mathematical Sciences, Madras. The collaborators are highly accomplished researchers and the proposed work has high research value.

描述：这个数学奖是为美国-印度合作研究：薛定谔算子的谱和逆谱问题。 合作者来自肯塔基州大学、布朗大学和切尼数学科学研究所。六个共同主要研究人员将调查随机薛定谔算子的谱特性，几乎周期算子的逆问题，薛定谔算子的迹公式以及KAM定理的应用。PI还将在新德里举办一个关于薛定谔算子理论的小型国际研讨会。 范围：这项研究是从合作PI K.B.组织的研讨会和暑期学校的富有成效的互动中发展起来的。新德里印度统计研究所的辛哈和M。马德拉斯数学科学研究所的克里希纳。 合作者是非常有成就的研究人员，所提出的工作具有很高的研究价值。