OS Partielle Differentialgleichungen: Hamiltonian Stationary Lagrangian equations
Time
Thursday, 8. July 2021
17:00 - 18:30
Location
Videokonferenz
Organizer
Speaker:
Prof. Micah Warren, PhD (University of Oregon)
The Hamiltonian stationary equation is the Euler-Lagrange equation for volume of gradient graphs over the space of potential functions. This is a fourth order version of the special Lagrangian equation. We first study the double-divergence equation in Euclidean space, proving that C^1 solutions must be smooth, and then offer a generalization to arbitrary Kähler manifolds. On the way we have to prove regularity results for very general class of double-divergence fourth order equations. This is joint work with Jingyi Chen and also work in progress with Arunima Bhattacharya and Jingyi Chen.