Fachbereich Mathematik und Statistik Prof. Dr. R. Denk, Prof. Dr. R. Racke, Prof. Dr. O. Schnürer Im Oberseminar Partielle Differentialgleichungen gibt es am Donnerstag, den 9. Juni 2016, einen Vortrag von Dr. Jonas Sauer (Technische - Universität Darmstadt) “ Time-Periodic Parabolic Problems and Maximal Regularity ” Beginn: 15.15 Uhr Raum: F 426 Interessenten sind herzlich willkommen! R. Denk, R. Racke, O. Schnürer Abstract: Throughout the last fifteen years or so, the concept of maximal Lp regularity has been examined and applied successfully to quasilinear parabolic equations. In my talk, I will show that maximal regularity for the initial value problem is equivalent to a time-periodic variant of maximal regularity. As time-periodic Lp estimates can be obtained in a fast and straight-forward way for the Laplace and the Stokes operator on different domains such as the whole space, the half space and sufficiently regular bounded domains, this constitutes an elegant proof of maximal Lp regularity of these operators which completely circumvents the somewhat complicated notion of R-boundedness. In proving the corresponding time-periodic estimates, the key idea is to replace the time axis with a torus, reformulate the problem on a locally compact abelian group and use Fourier techniques. The talk is based on joint works with Mads Kyed and Yasunori Maekawa. (invited by Prof. Dr. Robert Denk)