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홈 > 학술정보 >학술행사 > 세미나
KAIST PDE 세미나

Title
The Gauss curvature flow: the optimal regularity and the classification of closed self-similar solutions
Speaker
최경수   (Columbia Univ. )
Date
2017-01-12 15:00:00
Host
KAIST
Place
산업경영학동(E2) Room 3221
Abstract
Flat sides on a closed convex hypersurface shrink with finite speed under the Gauss curvature flow as a free boundary propagation, which describes the shape of worn stones. In this talk, we will study the ratios of one singular and five degenerate values on the Gauss curvature flow so that we obtain the optimal C^{1,1/(n-1)} regularity. In addition, by using one of the ratio, we will classify the closed self-similar solutions to the Gauss curvature flow.
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