4 papers · 1 filter
Equivalence of weak solution concepts for mean curvature flow
Tim Laux, Anton Ullrich
We provide a connection between weak solution concepts of mean curvature flow. On the one side we have the viscosity solution which is based on the comparison principle. On the oth…
The heat flow on glued spaces with varying dimension
Anton Ullrich
In this paper, we introduce a new concept of glued manifolds and investigate under which conditions the canonical heat flow on these glued manifolds is ergodic and irreducible. Glu…
Generic level sets in mean curvature flow are BV solutions
Anton Ullrich, Tim Laux
We show that a generic levelset of the viscosity solution to mean curvature flow is a distributional solution in the framework of sets of finite perimeter by Luckhaus and Sturzenhe…
Median filter method for mean curvature flow using a random Jacobi algorithm
Anton Ullrich, Tim Laux
We present an efficient scheme for level set mean curvature flow using a domain discretization and median filters. For this scheme, we show convergence in -norm under mil…