This program is mainly on the analysis of partial differential equations, in particular on their regularity theories. The subject has been intensively studied in the past decades and has applications to wide range of problems including but not limited to minimal surfaces, harmonic maps, free boundary problems and fluid equations.
The recent advance and understanding of this difficult subject have made the theories more geometrical and accessible to young researchers in the field.
Luis A. Caffarelli, 得克萨斯大学奥斯汀分校
王立河, 爱荷华大学
李岩岩, 罗格斯大学