挠函数的局部化与强Hardy不等式
Localisation for the torsion function and the strong Hardy inequality
摘要:
在Dirichlet Laplacian算子满足强Hardy不等式的假设下,得到了挠函数的效率的双边界,它与到边界函数的距离的平方有关.在此假设下得到了挠函数的局部化性质。并对一个实例进行了详细分析。
英文摘要:
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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