Professor Stephan Luckhaus (Universität Leipzig): Free Discontinuity Problems-Mumford Shah type...
Thursday, 24.05.2012 16:30 im Raum M5
"Free Discontinuity Problems - Mumford Shah type Problems"
(Solvability, Partial Regularity and Monotonicity Formulae)
We extend and simplify the result by Carriero, De Giorgi, Leaci that (almost)
minimizers of the (relaxed) Mumford Shah functional are regular outside
a closed one codimensional set. The connection with the theory of minimal
surfaces - GMT - and the method of monotonicity formulae will be
explained. (Joint work with Dorin Bucur)