Harmonic analysis: function spaces and partial differential equations

调和分析：函数空间和偏微分方程

• 批准号: DP190100970
• 负责人: Prof Xuan Thinh Duong
• 金额: $ 27.38万
• 依托单位: Macquarie University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2019
• 资助国家: 澳大利亚
• 起止时间: 2019-02-11 至 2023-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP190100970
• 关键词: Harmonic; analysis; function; spaces; partial

This project aims to solve a number of important problems at the frontier of harmonic analysis on metric measure spaces. Harmonic analysis has been instrumental to several fields of mathematics including complex analysis and partial differential equations which have had many applications in engineering and technology. This project will solve a number of important problems as well as develop new approaches and techniques for research in harmonic analysis and related topics. The project will maintain and enhance the strength of Australian mathematical research in harmonic analysis and contribute to the training of the next generation of mathematical researchers in Australia.

该项目旨在在公制度量空间的谐波分析边界解决许多重要问题。谐波分析对几个数学领域起了重要作用，包括复杂分析和偏微分方程，这些方程在工程和技术中都有许多应用。该项目将解决许多重要的问题，并开发用于谐波分析和相关主题研究的新方法和技术。该项目将在谐波分析中维持和增强澳大利亚数学研究的力量，并为澳大利亚下一代数学研究人员的培训做出贡献。