We show that weak solutions to parabolic equations in divergence form with conormal boundary conditions are continuously differentiable up to the boundary when the leading coefficients have Dini mean oscillation and the lower order coefficients verify certain integrability conditions.

中文翻译：

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具有迪尼平均振荡系数的抛物线方程的共正规导数问题

我们表明，当前导系数具有 Dini 均值振荡并且低阶系数验证某些可积性条件时，具有共正规边界条件的散度形式的抛物线方程的弱解在边界上是连续可微的。