HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, AND MAXWELL'S EQUATIONS IN LIPSCHITZ DOMAINS

Lipschitz 域中的调和分析、边值问题和麦克斯韦方程组

• 批准号: ARC : DP0208291
• 负责人: Prof Alan McIntosh
• 金额: $ 31.3万
• 依托单位: Australian National University Institute of Advanced Studies
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2002
• 资助国家: 澳大利亚
• 起止时间: 2002-01-01 至 2004-12-31
• 项目状态: 已结题
• 来源: https://researchdata.edu.au/harmonic-analysis-boundary-lipschitz-domains/62311
• 关键词: HARMONIC; ANALYSIS; BOUNDARY; VALUE; PROBLEMS

HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, AND MAXWELL'S EQUATIONS IN LIPSCHITZ DOMAINS. Boundary value problems for partial differential equations arise naturally when physical problems are expressed in mathematical terms. This project concerns the systematic development of the harmonic analysis of partial differential operators, and of the corresponding boundary integrals in order to solve such problems on irregular regions. Particular emphasis is given to studying the behaviour of electromagnetic waves both inside and outside irregularly shaped surfaces, and their propagation through it.

Lipschitz域中的调和分析、边值问题和麦克斯韦方程。当物理问题用数学术语表示时，偏微分方程的边值问题自然出现。这个项目涉及系统的发展的调和分析偏微分算子，以及相应的边界积分，以解决这些问题的不规则区域。特别强调的是研究电磁波的行为内外不规则形状的表面，并通过它的传播。