Hessian estimates for special Lagrangian equations with critical and supercritical phases

Friday, September 23, 2011 -
3:00pm to 5:00pm
We talk about a priori Hessian estimates for special Lagrangian equation with critical and supercritical phases in general higher dimensions. The "gradient" graphs of solutions are minimal Lagrangian submanifolds. Our unified approach leads to sharper estimates even for the previously known three dimensional or convex solution cases. Recent counterexamples for subcritical phase equations will also be mentioned.This is joint work with Dake Wang.
Speaker: 
Yu Yuan
University of Washington
Event Location: 
Fine Hall 314