偏微分方程式セミナー(2015/11/2): On the Horizontal Mean Curvature Flow Equation in the Heisenberg Group, 柳 青 氏

開催日時
2015年   11月 2日 16時 45分 ~ 2015年   11月 2日 17時 45分
場所
北海道大学理学部3号館3-309室
講演者
柳 青 氏 (福岡大学)
 
The horizontal mean curvature flow in the Heisenberg group has important applications in the study of a cortical model of image completion. Using the level set formulation, we discuss uniqueness and existence of viscosity solutions to the horizontal mean curvature flow equation. Since this equation has a singularity stronger than its Euclidean counterpart, the uniqueness of solutions turns out to be a more challenging problem. In this talk, we focus on two special cases. We first talk about the mean curvature motion of surfaces that are rotationally symmetric with respect to the vertical axis. We then turn to the case of graph-like surfaces. Part of this talk is based on joint work with F. Ferrari and J. Manfredi.

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関連項目

研究集会・セミナー・集中講義の一覧へ