Geometric Flows with Rough Initial Data

@inproceedings{KochGeometricFW,
  title={Geometric Flows with Rough Initial Data},
  author={Herbert Koch and Tobias Lamm}
}
We show the existence of a global unique and analytic solution for the mean curvature flow and the Willmore flow of entire graphs for Lipschitz initial data with small Lipschitz norm. We also show the existence of a global unique and analytic solution to the Ricci-DeTurck flow on euclidean space for bounded initial metrics which are close to the euclidean metric in L ∞ and to the harmonic map flow for initial maps whose image is contained in a small geodesic ball. 
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