Non-collapsing for a fully nonlinear inverse curvature flow

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS(2017)

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摘要
In this paper, we study a fully nonlinear inverse curvature flow in Euclidean space, and prove a non-collapsing property for this flow using maximum principle. Precisely, we show that upon some conditions on speed function, the curvature of the largest touching interior ball is bounded by a multiple of the speed.
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关键词
Parabolic equation,fully nonlinear inverse curvature flow,non-collapsing
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