Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, February 18, 2019 - 12:00 to 12:50

Location:

Kidd 237

Guest Speaker:

Institution:

University of Oregon

Abstract:

In this talk we discuss the regularity of the Lagrangian Hamiltonian stationary equation which is a fourth order nonlinear PDE.

We consider the equation for all phases in dimension two and show that solutions that are $C^{1,1}$ will be smooth. We also derive a $C^{2,α}$ estimate for it.

Note: This talk will be a joint talk of both the geometry/topology seminar and the analysis seminar.