Printable PDF
Department of Mathematics,
University of California San Diego

****************************

Math 248 - Analysis

Michael Viscardi

UCSD Extension Student

On the solution of the Dirichlet problem with rational boundary data

Abstract:

We shall consider the Dirichlet problem (for the Laplace operator) with rational data on the boundary of a domain in the plane. We shall characterize those simply connected domains for which all solutions are rational in terms of their Riemann maps and Bergman kernels.

Host: Peter Ebenfelt

October 25, 2005

10:30 AM

AP&M 6218

****************************