SMS scnews item created by Daniel Daners at Thu 18 Aug 2011 0837
Type: Seminar
Distribution: World
Expiry: 22 Aug 2011
Calendar1: 22 Aug 2011 1400-1500
CalLoc1: Eastern Ave 405
Auth: daners@bari.maths.usyd.edu.au

PDE Seminar

First order techniques in the solution of second order boundary value problems

McIntosh

Alan McIntosh
Australian National University
Mon 22 August 2011 2-3pm, Eastern Avenue Seminar Room 405

Abstract

The first order Cauchy Riemann equations have long been used in the study of harmonic boundary value problems in the plane. The Dirac operator can sometimes be employed in higher dimensions. Perturbed Dirac operators provided insight into the solution of the Kato square-root problem for elliptic operators. In recent joint work with Andreas Axelsson and Pascal Auscher, we show how they can also be used to study the solvability of elliptic equations with square integrable boundary conditions. I shall survey this chain of ideas.

Check also the PDE Seminar page. Enquiries to Florica Cîrstea or Daniel Daners.