Asymptotics for optimal controls for horizontal mean curvature flow.

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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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:	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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