Wunderlich, Marcel: Mean curvature flow of cones near minimal cones. 2019
Inhalt
- Introduction
- Heat Kernel Asymptotics and b-calculus
- Setup and Linearization
- Schauder estimates near the cone tip
- Estimates on the spatial Hölder differences
- Estimates on the temporal Hölder differences
- Estimates on the supremum
- Schauder Estimates near infinity
- Estimates on the spatial Hölder differences near ∞
- Estimates on the temporal Hölder differences near ∞
- Estimates on the supremum near ∞
- Further mapping properties of the Heat kernel
- Short-time existence
- Contraction near the cone tip
- Contraction near infinity
- The fixpoint argument
- Assumptions and the main theorem
- Curvatures along the flow
- A small survey of related problems
- Other results for mean curvature flow
- Conical Yamabe and Ricci flow
- Porous medium equation on conical manifolds
- Cusp singularities
- Uniformly equivalent distance functions
- References