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Paper detail

The Parametric Approach to the Willmore Flow

We introduce a parametric framework for the study of Willmore gradient flows which enables to consider a general class of weak, energy-level solutions and opens the possibility to study energy quantization and finite-time singularities. We restrict in this first work to a small-energy regime and prove that, for small-energy weak immersions, the Cauchy problem in this class admits a unique solution.

preprint2022arXivOpen access
Francesco PalmurellaTristan Rivière
math.APmath.DG
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Francesco PalmurellaTristan Rivière

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