Abstract

In this talk I will present mathematical advances achieved on a reflector design problem. Due to its applications in electro-magnetics and optics, the reflector design is a very practical problem, and has been extensively studied in engineering. Mathematically it can be reduced to the solvability of a fully nonlinear partial differential equation of Monge-Ampere type, subject to a second boundary condition. We give sharp conditions that guarantee the smoothness of the weak solutions as well as applications to the far-field problem.

This is a joint work with Xu-Jia Wang.

MONDAY, December 1, 2008
Time: 4:30 P.M.
Location: Wean Hall 7500

Refreshments at 4:00, Wean 6220.