偏微分方程式セミナー: α-Gauss Curvature flows with flat sides

開催日時
2013年   10月 21日 16時 30分 ~ 2013年   10月 21日 17時 30分
場所
北海道大学理学部3号館309室
講演者
金 羅美氏 (北海道大学 理学研究院) 
 
In this talk, we introduce α-Gauss Curvature flow
and for 1/2 < α ≤ 1, we show that there is smooth
solution if the initial data is smooth and strictly
convex and that there is a viscosity solution with
C1,1-estimate before the collapsing time if the initial
surface is only convex. Moreover, we prove that
there is a waiting time effect which means the flat
spot of the convex surface will persist for a while.
We also discuss the interface between the flat side
and the strictly convex side of the surface remains
smooth on 0 < t < T0 under certain necessary regularity
and non-degeneracy initial conditions, where
T0 is the vanishing time of the flat side. This talk is
based on joint work with K. Lee and E. Rhee.

関連項目

研究集会・セミナー・集中講義の一覧へ