1 citations · 2 across the 2 of their papers we have counts for
4 papers
Weak solutions to mean curvature flow respecting obstacles I: the graphical case
Melanie Rupflin, Oliver C. Schnürer
We consider the problem of evolving hypersurfaces by mean curvature flow in the presence of obstacles, that is domains which the flow is not allowed to enter. In this paper, we tre…
Stability of hyperbolic space under Ricci flow
Oliver C. Schnürer, Felix Schulze, Miles Simon
We study the Ricci flow of initial metrics which are C^0-perturbations of the hyperbolic metric on H^n. If the perturbation is bounded in the L^2-sense, and small enough in the C^0…
Evolution of convex lens-shaped networks under curve shortening flow
Oliver C. Schnürer, Abderrahim Azouani, Marc Georgi +8
We consider convex symmetric lens-shaped networks in R^2 that evolve under curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Further…
Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains
Felix Finster, Oliver C. Schnuerer
We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.