Gradient flow for the Willmore functional

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How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The Willmore flow near spheres (2001, background): “It would be interesting to know if a corresponding result also holds for the tori of revolution described above.”
Biharmonic map heat flow into manifolds of nonpositive curvature (2004, background): “[15], [16] for the harmonic map heat flow in two dimensions and the Yang-Mills flow in four dimensions or by E. Kuwert and R. Sch¨ atzle [10], [ 11 ] for the Willmore flow.”
A Note on Quasilinear Parabolic Equations on Manifolds (2010, background): “Our interest in having a handy proof of this result is related to geometric evolution problems, like for instance the Ricci flow, the mean curvature flow, the Willmore flow [7], the Q-curvature flow [9], the Yamabe flow [4, 11, 13], etc.”
Smooth geometric evolutions of hypersurfaces (2001, background): “See [ KS1 ,2], [Si] for the recent results on this subject.”
A level set formulation for Willmore flow (2004, background): “Kuwert and Scḧ atzle [22] show the existence of a lower bound on the maximal time for which smooth solutions for Willmore flow exist.”
Analysis aspects of Willmore surfaces (2008, methodology): “ii) Our approach should be very useful in the study of the Willmore Flow initiated in the work of Kuwert and Sch¨atzle [KS 1], [KS2],[KS3] (see also [Sim]).”