Partial Differential Equations, geometric aspects and applications

偏微分方程(PDE)的研究是一个经典而多产的研究领域，在数学分析的发展中起着基础性的作用，并受到自然科学和应用科学中重要应用的推动。 该项目的目的是在PDE领域取得实质性进展。所涵盖的数学研究领域非常广泛，既有分析和几何的交汇，也有许多在数学、自然科学和应用科学的其他领域的应用。将获得的成果将通过利用国际科学合作和跨学科方法，在这个极其困难但迅速增长的领域产生大量新知识。

The study of Partial Differential Equations (PDEs) is a classical and prolific field of research having a fundamental role in the development of mathematical analysis and motivated by important applications in natural and applied sciences. This project aims to obtain substantial progress in the field of PDEs. The area of mathematical research covered is extremely broad, at the confluence of analysis and geometry, and with many applications to other areas of mathematics and natural and applied sciences. The results that will be obtained will produce a significant amount of new knowledge in this extremely difficult, but rapidly growing, field, by exploiting international scientific collaborations and interdisciplinary methods.