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The Dirichlet Problem

Speaker 

Professor Wolfgang Arendt, University of Ulm, Germany

Abstract

The Dirichlet problem has a long history: Dirchlet tried to solve it by variational methods, Perron found an ingenious weak solution, Wiener obtained a characterization of well posedness in terms of his famous capacity condition, Stampacchia – in the light of the Di Giorgi-Nash result – investigated the Dirichlet problem for general elliptic operators.

We will tell the story of this fascinating problem explaining also some very new results in cases where the maximum principle does not hold. We also explain how the solution of the Dirichlet problem can be used to solve a parabolic problem via semigroup theory.

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Problems and Recent Methods in Operator Theory 2015

PLENARY SPEAKERS:

Aim & Scope:

This workshop gathered a group of leading researchers in Operator Theory, early career mathematicians and graduate students. There were six plenary lectures and a poster session with 12 participants. The lectures, posters and informal periods for discussion fostered ties for further collaboration and possibly promoted an active mathematical network.

Contact Info: Please send an Email

OrganizerFernanda Botelho

This workshop is in Cooperation with the Association for Women in Mathematics (AWM) and supports their Non-Discrimination Statement. This workshop is also in collaboration with the Center for Research and Innovation in STEM Teaching and Learning (CRISTAL). This workshop is funded by The National Science Foundation Award DMS-1546799. This workshop is also sponsored by Pearson, The University of Memphis – College of Arts and Sciences, and the Office of the Provost.