Geometric Estimation of a Potential and Cone Conditions of a Body
Geometric Estimation of a Potential and Cone Conditions of a Body
复制标题
物体势能和锥体条件的几何估计
DOI：
10.1007/s12220-016-9756-1
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
S. Sakata
中科院分区：
文献类型：
--
作者：
S. Sakata
我们调查的潜在获得的卷积的径向对称函数和特征函数的身体（封闭的保税开放集）与外部锥。为了限制的位置的最大化的潜力到一个较小的封闭区域包含在内部的身体，我们给出了一个估计的潜力使用外部锥的身体。此外，我们将结果应用到上半空间的Poisson积分。
We investigate a potential obtained as the convolution of a radially symmetric function and the characteristic function of a body (the closure of a bonded open set) with exterior cones. In order to restrict the location of a maximizer of the potential into a smaller closed region contained in the interior of the body, we give an estimate of the potential using the exterior cones of the body. Moreover, we apply the result to the Poisson integral for the upper half-space.