Prof. Dr. Dirk Pauly - FB Mathematik und Statistik

Fachbereich Mathematik und Statistik
Prof. Dr. R. Denk, Prof. Dr. R. Racke, Prof. Dr. O. Schnürer
Im
Oberseminar Partielle Differentialgleichungen
gibt es am
Donnerstag, dem 7. Januar 2016,
einen Vortrag von
Prof. Dr. Dirk Pauly
(Universität Duisburg-Essen)
“Non-standard partial integration: Implications to Maxwell and Korn
inequalities - or: How one cannot apply the closed graph theorem!”
Beginn: 15.15 Uhr
Raum: F 426
Interessenten sind herzlich willkommen!
R. Denk, R. Racke, O. Schnürer
Abstract: We will prove that in bounded and convex three-dimensional domains the Maxwell constants lie in
between the Friedrichs and Poincare constants. Furthermore, in our efforts to prove these estimates, it turned out
that in (piecewise) concave domains interesting new non-standard first Korn inequalities hold. A special case of
these non-standard Korn inequalities has been used by Cedric Villani in his celebrated (fields medal) works. We will
discuss a disturbing consequence.
(invited by Prof. Dr. Reinhard Racke)