Brakke's formulation of velocity and the second order regularity property

Ryunosuke Mori, Eita Tomimatsu, Yoshihiro Tonegawa

Suppose that a family of $k$-dimensional surfaces in ${\mathbb{R}}^n$ evolves by the motion law of $v=h+u^{\perp }$ in the sense of Brakke's formulation of velocity, where $v$ is the nor…