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On boundary detachment phenomena for the total variation flow with dynamic boundary conditions
Journal of Differential Equations ( IF 2.4 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.jde.2020.07.015
Yoshikazu Giga , Ryota Nakayashiki , Piotr Rybka , Ken Shirakawa

We combine the total variation flow suitable for crystal modeling and image analysis with the dynamic boundary conditions. We analyze the behavior of facets at the parts of the boundary where these conditions are imposed. We devote particular attention to the radially symmetric data. We observe that the boundary layer detachment actually can happen at concave parts of the boundary

中文翻译:

具有动态边界条件的全变流边界脱离现象

我们将适用于晶体建模和图像分析的总变化流与动态边界条件相结合。我们分析了在施加这些条件的边界部分的方面的行为。我们特别关注径向对称数据。我们观察到边界层脱离实际上可以发生在边界的凹部
更新日期:2020-12-01
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