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Sub-Riemannian heat kernels and mean curvature flow of graphs - MaRDI portal

Sub-Riemannian heat kernels and mean curvature flow of graphs (Q1948125)

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Sub-Riemannian heat kernels and mean curvature flow of graphs
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    Sub-Riemannian heat kernels and mean curvature flow of graphs (English)
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    30 April 2013
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    The authors introduce a sub-Riemannian analogue of the Bence-Merriman-Osher algorithm, and show that it leads to weak solutions of the horizontal mean curvature flow of graphs over sub-Riemannian Carnot groups. The proof follows the nonlinear semi-group theory approach due to Evans in the Euclidean setting.
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    heat kernels in Lie groups
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    mean curvature flows
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    nonlinear semi-groups
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