Heat equations: geometric methods and applications

热方程：几何方法和应用

• 批准号: DP120102462
• 负责人: Prof Benjamin Andrews
• 金额: $ 24.37万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2012
• 资助国家: 澳大利亚
• 起止时间: 2012-01-01 至 2016-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP120102462
• 关键词: Heat; equations; geometric; methods; applications

This project will continue the development of a highly successful set of analytic and geometric tools to understand heat-type partial differential equations, with applications in physics, geometry, analysis and image processing. These new mathematical tools have already yielded the resolution of important conjectures in spectral geometry.

该项目将继续开发一套非常成功的分析和几何工具，以理解热型偏微分方程，并应用于物理、几何、分析和图像处理。这些新的数学工具已经解决了光谱几何中的重要问题。