Dienstag, 15.01.2013, 11.00 Uhr

Localizable solutions to nonlinear parabolic problems with irregular obstacles

Prof. Dr. Christoph Scheven (Universität Duisburg-Essen)

The talk is concerned with parabolic obstacle problems related to the evolutionary p-Laplace
equation. The obstacle function may be very irregular and may also be increasing in time. In
such a general situation, it was not known so far whether the solutions to such obstacle
problems are localizable in the sense that the restriction of the solution on a subdomain again
solves an obstacle problem. This is of course a serious problem if you are asking for local
properties of a solution such as regularity. The talk will present a new existence result for
localizable solutions to obstacle problems with irregular obstacles and will discuss some
regularity properties of the constructed solutions.

Zeit: 11:00 Uhr

Ort: Raum SG 11, Seminargebäude, Wüllnerstraße 5 b, 52062 Aachen