论文标题
Brakke流动边界的Epsilon-Regulacority
Epsilon-regularity for the Brakke flow with boundary
论文作者
论文摘要
我们证明，如果带边界的布拉克流足够接近具有密度1的固定半平面，则为$ c^{1，α} $。我们的方法基于Savin在椭圆方程式中引入的粘度技术。可以使用相同的技术来证明Brakke（内部）的规律定理，该定理是原始技术的替代方法。
We prove that, if a Brakke flow with boundary is close enough to a stationary half-plane with density one, then it is $C^{1,α}$. Our approach is based on viscosity techniques introduced by Savin in the context of elliptic equations. The same techniques can be used to give a proof of Brakke's (interior) regularity theorem which is alternative to the original one.
