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

2024/02/08 by Eichmann, Sascha
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.05580

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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