Dirr, Nicolas  ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725 and Grande, Raffaele
2020.
Asymptotics for optimal controls for horizontal mean curvature flow.
[Online].
arXiv.
Available at: https://arxiv.org/abs/2005.10599
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Official URL: https://arxiv.org/abs/2005.10599
Abstract
The solutions to surface evolution problems like mean curvature flow can be expressed as value functions of suitable stochastic control problems, obtained as limit of a family of regularised control problems. The control- theoretical approach is particularly suited for such problems for degen- erate geometries like the Heisenberg group. In this situation a new type of singularities absent for the Euclidean mean curvature flow occurs, the so-called characteristic points. This paper investigates the asymptotic behaviour of the regularised optimal controls in the vicinity of such char- acteristic points.
| Item Type: | Website Content |
|---|---|
| Date Type: | Completion |
| Status: | Submitted |
| Schools: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | arXiv |
| Last Modified: | 01 Dec 2024 01:15 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/131898 |
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