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MSI Weekly Bulletin - Week starting Monday 8 February, 2010

Unless otherwise stated, seminars are held in the Bernhard Neumann Seminar Room (G35) on the ground floor of the John Dedman Mathematical Sciences Building, Bldg 27 (Map).

To have a seminar listed in this page, email the details to seminars.msi@anu.edu.au.

View past MSI colloquia, analysis seminars and MSI weekly bulletins.

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PDE/Analysis Seminar
New arrivals

Tuesday 9 February, 2010

2.00pm

PDE/Analysis Seminar

Global estimates for Green's matrix of second order parabolic systems with application to elliptic systems in two dimensional domains

Seick Kim

Seminar Room G35, Mathematical Sciences Institute, John Dedman Building #27

Abstract

We establish global Gaussian estimates for the Green's matrix of divergence form, second order parabolic systems in a cylindrical domain under the assumption that weak solutions of the system vanishing on a portion of the boundary satisfy a certain local boundedness estimate and a local Holder estimate. From these estimates, we also derive global estimates for the Green's matrix for elliptic systems with bounded measurable coefficients in two dimensional domains. We present a unified approach valid for both the scalar and vectorial cases and discuss several applications of our result.

New Arrivals

Please welcome the following people to the MSI:

Oliver Bueltel, of U Duisburg-Essen, visiting Alan Carey in .
Steve Hofmann, of University of Missouri, visiting Alan McIntosh in Analysis and Geometry.

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