Regularity of the Level Set Flow
Copyright policy )Regularity of the Level Set Flow
AbstractWe showed earlier that the level set function of a monotonic advancing front is twice differentiable everywhere with bounded second derivative and satisfies the equation classically. We show here that the second derivative is continuous if and only if the flow has a single singular time where it becomes extinct and the singular set consists of a closed C1 manifold with cylindrical singularities. © 2017 Wiley Periodicals, Inc.
- Johns Hopkins University United States
- Mathematical Sciences Research Institute United States
- Massachusetts Institute of Technology United States
Mathematics - Differential Geometry, monotonic advancing front, singular time, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), FOS: Mathematics, singular set, Geometric evolution equations, Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, monotonic advancing front, singular time, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), FOS: Mathematics, singular set, Geometric evolution equations, Analysis of PDEs (math.AP)
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