New perspectives on nonlocal equations

非局部方程的新视角

• 批准号: FT230100333
• 负责人: Prof Serena Dipierro
• 金额: $ 74.67万
• 依托单位: The University of Western Australia
• 依托单位国家: 澳大利亚
• 项目类别: ARC Future Fellowships
• 财政年份: 2023
• 资助国家: 澳大利亚
• 起止时间: 2023-07-01 至 2027-06-30
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/FT230100333
• 关键词: New; perspectives; nonlocal; equations

This project aims at tackling cutting-edge problems in the field of mathematical analysis, with specific focus on nonlocal equations, by introducing innovative approaches and a unified perspective. It focuses on the use of long-range interactions to deeply understand new effects arising in several mathematical problems of great impact. The research will be performed through stimulating international collaborations, providing exchange opportunities and ideal conditions for students to complete their training. The expected outcomes include new techniques to solve difficult problems, high impact international research collaborations, training of the next generation of mathematicians and top tier journal publications.

该项目旨在通过引入创新方法和统一视角来解决数学分析领域的前沿问题，特别关注非局部方程。它侧重于利用长程相互作用来深入理解几个具有重大影响的数学问题中产生的新效应。 该研究将通过刺激国际合作、为学生完成培训提供交流机会和理想条件来进行。 预期成果包括解决难题的新技术、高影响力的国际研究合作、下一代数学家的培训和顶级期刊出版物。