From: Brenda Cook (brenda@math.missouri.edu)
Date: Mon Sep 11 2006 - 08:15:37 CDT
Harmonic Analysis Seminar
Monday, September 11, 2006
4:00-4:50 PM, Math 110
Speaker: Matthew Wright
Title: Boundary value problems for the Stokes system
Abstract: We shall survey recent progress in the treatment of
Dirichlet, Neumann and transmission boundary value problems
for the Stokes system of linear hydrostatics in Lipschitz domains.
This program has been initiated in the 80's by Fabes, Kenig and
Verchota who have developed a L2-theory. Our goal is to essentially
bring this program to completion by establishing optimal L^p-results.
As a corollary, we are able to prove the well-posedness of the
Poisson problem for the Stokes system in Sobolev-Besov spaces in
Lipschitz domains. Similar considerations apply to the case
of the Lame system of linear elasticity. These results will be
presented in a subsequent lecture.
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