论文标题

边界定期的边界定期,用于完全非线性抛物线方程,并应用于自由边界的规律性

Boundary pointwise regularity for fully nonlinear parabolic equations and an application to regularity of free boundaries

论文作者

Lian, Yuanyuan, Zhang, Kai

论文摘要

在本文中,我们证明边界为$ c^{k,α} $适用于任何$ k \ geq 1 $对于完全非线性抛物线方程。作为应用程序,我们直接且简短地证明了障碍型问题中自由边界的较高规律性。

In this paper, we prove boundary pointwise $C^{k,α}$ regularity for any $k\geq 1$ for fully nonlinear parabolic equations. As an application, we give a direct and short proof of the higher regularity of the free boundaries in obstacle-type problems.

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