Weak solutions of inverse mean curvature flow for hypersurfaces with boundary
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Open access
Author
Date
2017-07Type
- Journal Article
Abstract
We consider the evolution of hypersurfaces with boundary under inverse mean curvature flow. The boundary condition is of Neumann type, i.e. the evolving hypersurface moves along, but stays perpendicular to, a fixed supporting hypersurface. In this setup, we prove existence and uniqueness of weak solutions. Furthermore, we indicate the existence of a monotone quantity which is the analog of the Hawking mass for closed hypersurfaces. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000270977Publication status
publishedExternal links
Journal / series
Journal für die reine und angewandte MathematikVolume
Pages / Article No.
Publisher
De GruyterOrganisational unit
03935 - Eichmair, Michael
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.More
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