Probabilistic representations for solutions of higher-order elliptic equations and polyharmonic functions

Event Detail

Event type: Probability Seminar
Date/Time: 12/01/2009-16:00   
Location: GILK 115

Speaker info

Speaker: Mark Kelbert , Swansea University, UK

Abstract:
We study the so-called Lauricella problem for higher-order elliptic operators of the type $L=(\Delta+V)^m$. A Feyman-Kac type representation of the solutions is presented and the bounds for the growth of the solutions are proved by probabilistic methods.