Dirr, Nicolas, Dragoni, Federica and Grande, Raffaele 2020. Asymptotics for optimal controls for horizontal mean curvature flow. arXiv.org |
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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: | Article |
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Status: | Submitted |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Last Modified: | 26 Nov 2020 23:20 |
URI: | http://orca.cf.ac.uk/id/eprint/131898 |
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