Johannes Kepler Symposium für Mathematik

Im Rahmen des Johannes-Kepler-Symposiums für Mathematik wird Wolfgang Wendland, Institut für Angewandte Analysis und Numerische Simulation, University Stuttgart, am Fri, Nov. 16, 2012 um 13:45 Uhr im S2 416 einen öffentlichen Vortrag (mit anschließender Diskussion) zum Thema "Elliptic potentials and boundary value problems" halten, zu dem die Veranstalter des Symposiums,

O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, und
die ÖMG (Österreichische Mathematische Gesellschaft)

hiermit herzlich einladen.

Series B - Mathematical Colloquium:

The intention is to present new mathematical results for an audience interested in general mathematics.

Elliptic potentials and boundary value problems

Beginning with the classical boundary potentials and boundary integral equations for the Dirichlet and Neumann problems with the Poisson equation, we give a brief overview of the history of these methods in relation to different assumptions for the domain's boundary and function spaces involved. Then the introduction of energy spaces and coerciveness properties lead to strongly elliptic problems with coercive and strongly elliptic boundary integral equations. These methods can still be applied to the original Gauss problem of potential theory as well as to the Helmholtz equation, the Lam'e equations of linear elasticity, to stationary Stokes and Brinkman equations although the latter are not strongly elliptic but elliptic, and also to time harmonic Maxwell equations. The lecture ends with an outlook to more general regularity properties and to problems on manifolds.