# Title: Hessian Estimates for the Lagrangian mean curvature equation

Wednesday, March 3, 2021 3:15 PM

Arunima Bhattacharya (University of Washington)

In this talk, we will discuss a priori interior estimates for the Lagrangian mean curvature equation under certain natural restrictions on the Lagrangian phase. As an application, we will use these estimates to solve the Dirichlet problem for the Lagrangian mean curvature equation with continuous boundary data on a uniformly convex, bounded domain.