论文标题

扭转功能的本地化和强大的不平等

Localisation for the torsion function and the strong Hardy inequality

论文作者

Berg, Michiel van den, Kappeler, Thomas

论文摘要

扭转函数效率的两侧边界是根据Dirichlet Laplacian满足强耐力不平等的假设,根据与边界函数的距离的平方获得的。在该假设下获得了扭转函数的定位特性。详细分析了一个示例。

Two-sided bounds for the efficiency of the torsion function are obtained in terms of the square of the distance to the boundary function under the hypothesis that the Dirichlet Laplacian satisfies a strong Hardy inequality. Localisation properties of the torsion function are obtained under that hypothesis. An example is analysed in detail.

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