Seminar series
Date
Fri, 18 Jul 2008
Time
13:30 -
14:30
Location
Gibson 1st Floor SR
Speaker
Neil Trudinger
Organisation
Australian National University
We present a selection of recent results pertaining to Hessian
and Monge-Ampere equations, where the Hessian matrix is augmented by a
matrix valued lower order operator. Equations of this type arise in
conformal geometry, geometric optics and optimal transportation.In
particular we will discuss structure conditions, due to Ma,Wang and
myself, which imply the regularity of solutions.These conditions are a
refinement of a condition used originally by Pogorelev for general
equations of Monge-Ampere type in two variables and called strong
ellipticity by him.