Surface Evolution Equations: A Level Set Approach

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Numerical approximation of gradient flows for closed curves in Rd (2010, methodology): “Langer and Singer (1985). Hence it is once again remarkable, that our numerical method manages to follow this flow to the (unstable) steady state solution.”
On the evolution governed by the infinity Laplacian (2006, background): “We recall this definition below, and refer the reader to [16], [6] and [17] for its justification and the basic properties such as stability etc.”
Dirichlet Duality and the Nonlinear Dirichlet Problem on Riemannian Manifolds (2009, background): “(See the classical papers of Evans-Spruck [ES∗] and ChenGiga-Goto [CGG∗], and the very nice accounts in [E] and [Gi].”