The parametric Willmore flow-Reference-Cited by-同舟云学术

The parametric Willmore flow

Published:2024-03-21 Issue:0 Volume:0 Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Palmurella Francesco¹,Rivière Tristan²

Affiliation:

1. Scuola Normale Superiore , Piazza dei Cavalieri 7, 56126 Pisa , Italy

2. Department of Mathematics , ETH Zentrum , CH-8093 Zürich , Switzerland

Abstract

Abstract We establish a minimal positive existence time of the parametric Willmore flow for any smooth initial data (smooth immersion of a closed oriented surface). The minimal existence time is a function exclusively of geometric data which in particular are all well defined for general weak Lipschitz W 2 , 2

W^{2,2}

immersions. This fact opens in particular the possibility for defining the Willmore flow for weak Lipschitz W 2 , 2

W^{2,2}

initial data.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2024-0011/pdf

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