学术报告

On Small and Large Exponent Limits of Power Mean Curvature Flow Equation

阅读次数:2051

题目:On Small and Large Exponent Limits of Power Mean Curvature Flow Equation
报告人:柳青 (福冈大学 助理教授)
地点:致远楼101室
时间:2018年4月18日 10:00
摘要:
Motivated by applications in image processing, we study asymptotic behavior for the level set equation of power mean curvature flow as the exponent tends to 0 or to infinity. When the exponent is vanishing, we formally obtain a fully nonlinear singular equation that
describes the motion of a surface by the sign of its mean curvature. We justify the convergence by providing a definition of viscosity solutions to the limit equation and establishing a comparison principle. In the large exponent case, the limit equation can be characterized as a stationary obstacle problem involving 1-Laplacian when the initial value is assumed to be convex.

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