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arXiv · 2402.05580

Improved long time existence for the Willmore flow of surfaces of revolution with Dirichlet data

Sascha Eichmann
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Abstract

To avoid possible singularities in the Willmore flow, one usually works under an energy threshold provided by the Li-Yau inequality. Here we improve this threshold by also considering parts outside of a possible singularity together with Dirichlet boundary data. We work in the class of surfaces of revolution.

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Sascha Eichmann. 2024-02-08. Improved long time existence for the Willmore flow of surfaces of revolution with Dirichlet data. https://arxiv.org/abs/2402.05580

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