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Asymptotics for optimal controls for horizontal mean curvature flow.

Dirr, Nicolas, Dragoni, Federica and Grande, Raffaele 2020. Asymptotics for optimal controls for horizontal mean curvature flow. arXiv.org

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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
Status: Submitted
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Last Modified: 31 Jul 2020 15:54
URI: http://orca.cf.ac.uk/id/eprint/131898

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