论文标题

Hölder连续系数的经典障碍物问题

The classical obstacle problem with Hölder continuous coefficients

论文作者

Andreucci, Giovanna, Focardi, Matteo

论文摘要

Weiss'和Monneau的类型准单调性公式是用于具有分别具有DINI,双二尼连续性系数矩阵的二次能量的。然后推导Hölder连续性假设下相应的经典障碍问题的自由边界规则性。

Weiss' and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuity, respectively. Free boundary regularity for the corresponding classical obstacle problems under Hölder continuity assumptions is then deduced.

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