Hessian Estimates for the Lagrangian mean curvature equation

Fri Apr 8, 2022 2:00 p.m.—3:00 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Geometric Analysis and Application

Event time: 
Friday, April 8, 2022 - 2:00pm

Speaker: 
Arunima Bhattacharya

Speaker affiliation: 
University of Washington

Event description: 
In this talk, we will derive a priori interior Hessian 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.