论文标题
Willmore流的参数方法
The Parametric Approach to the Willmore Flow
论文作者
论文摘要
我们引入了一个参数框架，用于研究Willmore梯度流，该框架使能够考虑一般弱的能量水平解决方案，并为研究能量量化和有限的时间奇异性提供了可能性。我们将这项第一项工作限制在一个小能力方面，并证明，对于小能量弱的沉浸式，此类的库奇问题承认了一个独特的解决方案。
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.
