OS Partielle Differentialgleichungen: Harnack inequalities for evolving hyperfaces

Donnerstag, 06. Dezember 2018
15.15 – 16.45 Uhr

R 512


PD Dr. Julian Scheuer

Diese Veranstaltung ist Teil der Veranstaltungsreihe „Oberseminar Partielle Differentialgleichungen“.

Abstract: We introduce a new method to obtain Harnack inequalities for extrinsic curvature flows such as the mean curvature flow and more general fully nonlinear flows. For example, this method allows us to deduce Harnack inequalities for the mean curvature flow in locally symmetric (Riemannian or Lorentzian) Einstein spaces, for flows with convex speeds in the De Sitter space and for the Gauss curvature flow in Minkowski space (joint work with Paul Bryan and Mohammad Ivaki).