The special Lagrangian equation is a fully nonlinear elliptic PDE whose solutions correspond to minimal graphs of the form (x,u’(x)).  The interior estimates by Chen, Wang, Warren, and Yuan a decade ago depend heavily on the theory of minimal surfaces.  In this talk, we describe a new proof of these estimates using a doubling approach.

This compactness method combines the maximum principle, Savin’s small perturbation theorem, and Chaudhuri-Trudinger’s Alexandrov theorem. This talk will survey the PDE and the principles behind the method.

09h00 New York (DST), 14h00 London (GMT), 11h00 Montevideo, 15h00 Paris, 11h00 Rio de Janeiro

For more information, please consult the seminar website:
https://sites.google.com/view/pangolin-seminar/home