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Asymptotics for optimal controls for horizontal mean curvature flow.

Dirr, Nicolas ORCID:, Dragoni, Federica ORCID: and Grande, Raffaele 2020. Asymptotics for optimal controls for horizontal mean curvature flow. [Online]. arXiv. Available at:

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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: 26 Nov 2022 13:38

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