From: Brenda Sue Cook (brenda@math.missouri.edu)
Date: Fri Apr 11 2008 - 08:28:21 CDT
Special Seminar in Harmonic Analysis
4:00 PM, Monday April 14, MSB 110
Prof. Alan McIntosh (Centre for Mathematics and its
Applications, Australian National University)
Solvability of some elliptic pde's with square integrable boundary
data
Abstract: I shall survey some applications of harmonic analysis to
the study of
elliptic PDE's, and present some new results of Auscher, Axelsson and
myself concerning solvability of certain non-symmetric divergence form
elliptic PDE's with bounded measurable coefficients and L2 boundary
values.
This work uses results of Axelsson, Keith and myself, which in turn
build
upon the proof of the Kato square root problem by Auscher, Hofmann,
Lacey,
Tchamitchian and myself. Recent papers on this topic are by Alfonseca,
Auscher, Axelsson, Hofmann and Kim, and also by Auscher, Axelsson and
Hofmann.
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