Student Analysis Date:  Thursday, October 04, 2012 Location:  2866 East Hall (5:10 PM to 6:00 PM) Title:  The Double Layer Potential and the Solution to the Dirichlet Problem Abstract:   In this talk, I will present one of the many techniques to solve the Dirichlet problem, the double layer potential. I will explain, first, its classical use, via Fredholm theory, to solve the Dirichlet problem on smooth domains. Then I will introduce more recent results, from the 1980s, that applied tools from harmonic analysis to the double layer potential to give solutions to the Dirichlet problem on rough domains. The background assumed will be minimal. Most of the talk requires just basic knowledge of Laplace's equation, Green's identities from multivariable calculus, and rudimentary functional analysis; I will explain the results from harmonic analysis (Calderon-Zygmund operators) I need in the second part for those who haven't seen it before. Speaker:  Rafe Kinsey Institution:  University of Michigan Event Organizer:   Purvi Gupta      Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.