Non-local equations at work

工作中的非局部方程

• 批准号: DP170104880
• 负责人: Prof Enrico Valdinoci
• 金额: $ 19.98万
• 依托单位: The University of Western Australia
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2017
• 资助国家: 澳大利亚
• 起止时间: 2017-06-30 至 2022-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP170104880
• 关键词: Non; local; equations; work

This project aims to study non-local fractional equations. These problems arise naturally in many fields of pure and applied mathematics. This project will consider symmetry and rigidity results; problems from atom dislocation theory; nonlocal minimal surfaces; symbolic dynamics for nonlocal equations; and free boundary problems. This project aims to obtain substantial progress in this field, both from the point of view of the mathematical theory and in view of concrete applications. This project should contribute to the development of the mathematical theory and give insight for concrete applications in physics and biology.

本项目主要研究非局部分数阶方程。这些问题自然出现在许多领域的纯数学和应用数学。这个项目将考虑对称性和刚性的结果;从原子位错理论的问题;非局部极小曲面;非局部方程的符号动力学;和自由边界问题。该项目旨在从数学理论和具体应用的角度在这一领域取得实质性进展。这个项目应该有助于数学理论的发展，并为物理学和生物学的具体应用提供见解。