中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Professor  Yu Yuan (University of Washington)

题  目：Special Lagrangian equations

时  间：2024.06.17（星期一）10：30-11：30

地  点：N913

摘  要： We survey some new and old, positive and negative results on a prioriestimates, regularity, rigidity, and constant rank property for special Lagrangian equations with or without certain convexity. The "gradient" graphs of solutions are minimal or maximal Lagrangian submanifolds,respectively in Euclidean or pseudo-Euclidean spaces. In the latter setting, these equations are just Monge-Ampere equations.