15 citations · 19 across the 8 of their papers we have counts for
9 papers
Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions
Annalisa Cesaroni, Heiko Kröner, Matteo Novaga
We consider the anisotropic mean curvature flow of entire Lipschitz graphs. We prove existence and uniqueness of expanding self-similar solutions which are asymptotic to a prescrib…
Li-Yau gradient estimates for curvature flows in positively curved manifolds
Paul Bryan, Heiko Kröner, Julian Scheuer
We prove differential Harnack inequalities for flows of strictly convex hypersurfaces by powers , , of the mean curvature in Einstein manifolds with a positive lower boun…
Expansion of pinched hypersurfaces of the Euclidean and hyperbolic space by high powers of curvature
Heiko Kröner, Julian Scheuer
We prove convergence results for expanding curvature flows in the Euclidean and hyperbolic space. The flow speeds have the form , where and is a positive, strictl…
Error estimate for a finite element approximation of the solution of a linear parabolic equation on a two-dimensional surface
Heiko Kröner
We show that a certain error estimate for a fully discrete finite element approximation of the solution of the heat equation which is defined in a two-dimensional Euclidean domain…
-error estimate for the finite element method on two dimensional surfaces
Heiko Kröner
We approximate the solution of the equation on a two-dimensional, embedded, orientable, closed surface where denotes the Laplace Beltrami operator on…
Numerical approximation of positive power curvature flow via deterministic games
Heiko Kröner
We approximate the level set solution for the motion of an embedded closed curve in the plane with normal speed $\max(0, κ)^{\ga}$ where is the curvature of the curve and $\fra…