On Monge-Ampere type equations and near field optics

Thursday 24th October, 1400, MC113 (C26)

Professor Neil Trudinger

will speak on

On Monge-Ampere type equations and near field optics

We report on a general theory of Monge-Ampere type partial differential equations which are given by prescribing the Jacobians of vector mappingsĀ of one jets. Such PDEs arise in near field geometric optics and we considerĀ some examples together with the underlying convexity and ensuing regularity theories.