##### 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

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