Stability in an overdetermined problem for the Green’s function

Stability in an overdetermined problem for the Green’s function
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格林函数超定问题的稳定性

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
R. Magnanini
R. Magnanini
中科院分区:
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文献类型:
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作者:
Virginia Agostiniani;R. Magnanini

文献摘要

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在平面上,我们考虑了相对于拉普拉斯算子的Dirichlet问题,由其格林函数(带固定极点)的法向导数重建一个区域的问题。利用保角映射理论,导出了Hölder型的稳定性估计。
In the plane, we consider the problem of reconstructing a domain from the normal derivative of its Green’s function (with fixed pole) relative to the Dirichlet problem for the Laplace operator. By means of the theory of conformal mappings, we derive stability estimates of Hölder type.