Global wavefront propagation and non-elliptic Fredholm theory

全局波前传播和非椭圆 Fredholm 理论

• 批准号: DP180100589
• 负责人: Prof Andrew Hassell
• 金额: $ 26.03万
• 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: 2018
• 资助国家: 澳大利亚
• 起止时间: 2018-01-03 至 2023-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP180100589
• 关键词: Global; wavefront; propagation; non; elliptic

Many significant phenomena in the natural world are described by partial differential equations that involve evolution in time. This project aims to develop new mathematical methods, involving recently discovered global wavefront set analysis and Fredholm theory, to solve such equations. These methods aim to extend the range of equations that can be solved as well as yield more information about solutions, in particular, their long-time asymptotics.

自然界中的许多重要现象都是由涉及时间演化的偏微分方程描述的。本项目旨在开发新的数学方法，包括最近发现的全局波前集分析和Fredholm理论，以解决此类方程。这些方法的目的是扩大可以解决的方程的范围，以及产生更多的信息的解决方案，特别是，他们的长期渐近。