研讨班报告

偏微分方程研讨班:Special Lagrangian equations

发布时间:2024-06-17
 

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.

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