We adress an obstacle problem for (graphical) mean curvature flow with Dirichlet boundary conditions. Using (an adapted form of) the standard implicit time-discretization scheme we derive the existence of distributional solutions satisfying an appropriate variational inequality.
Uniqueness of this flow and asymptotic convergence towards the stationary solution is proven.
Freie Schlagwörter (DE)
Hindernisproblem, Mittlerer Krümmungsfluss
Freie Schlagwörter (EN)
Obstacle Problem, Mean Curvature Flow
Klassifikation (DDC)
500
GutachterIn
Prof. Dr. Stephan Luckhaus
Prof. Dr. Matteo Focardi
BetreuerIn
Prof. Dr. Emanuele Spadaro
Den akademischen Grad verleihende / prüfende Institution