Aram Karakhanyan, University of Texas
Reflector Antenna Design Problems
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
Refreshments at 4:00, Wean 6220.