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Loss of convexity and embeddedness for geometric evolution equations of higher order

Simon Blatt

Journal of Evolution Equations · 2009 · 24 citations · 6 references

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References

6

The heat equation shrinking convex plane curves

Michael E. Gage, Richard S. Hamilton · Journal of Differential Geometry · 1986 · 1.2K citations · Full text

, , +7

Flow by mean curvature of convex surfaces into spheres

Gerhard Huisken · Journal of Differential Geometry · 1984 · 1.2K citations · Full text

, , +12

Contraction of convex hypersurfaces in Euclidean space

Ben Andrews · Calculus of Variations and Partial Differential Equations · 1994 · 311 citations

, , +11

A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow

Uwe Mayer, Gieri Simonett · Interfaces and Free Boundaries Mathematical Analysis Computation and Applications · 2002 · 64 citations · Full text

, , +16

The problem of optimal smoothing for convex functions

Mohammad Ghomi · Proceedings of the American Mathematical Society · 2002 · 62 citations · Full text

, , +14