论文标题
均值符号集的各向异性和晶体平均曲率流
Anisotropic and crystalline mean curvature flow of mean-convex sets
论文作者
论文摘要
我们考虑了具有严格阳性各向异性平均曲率的各向异性（包括结晶）平均曲率流的变异方案。我们表明，该方案保留了这种情况，我们证明了近似演变的时间集成周围的BV中严格的收敛性，从而将De Philippis和Laux的最新结果扩展到各向异性环境。我们还证明了在极限中获得的扁平流的唯一性。
We consider a variational scheme for the anisotropic (including crystalline) mean curvature flow of sets with strictly positive anisotropic mean curvature. We show that such condition is preserved by the scheme, and we prove the strict convergence in BV of the time-integrated perimeters of the approximating evolutions, extending a recent result of De Philippis and Laux to the anisotropic setting. We also prove uniqueness of the flat flow obtained in the limit.
