New perspectives on nonlocal equations

该项目旨在通过引入创新的方法和统一的视角，解决数学分析领域的前沿问题，特别是非局部方程。它着重于使用远程相互作用来深刻理解在几个具有重大影响的数学问题中出现的新效应。 研究将通过促进国际合作进行，为学生提供交流机会和完成培训的理想条件。 预期的结果包括解决难题的新技术、高影响力的国际研究合作、培训下一代数学家和顶级期刊出版物。

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.