On Hadamard's variational formula

On Hadamard's variational formula
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关于哈达玛变分公式

DOI:
10.1016/0022-0396(80)90053-4
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发表时间:
1980
影响因子:
2.4
通讯作者:
J. Peetre
J. Peetre
中科院分区:
数学2区
文献类型:
--
作者:
J. Peetre

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在他著名的回忆录[2](也见页。303-312)Hadamard在具有边界&Q的有界三维区域Sz中得到了与拉普拉斯算子A相关联的绿色函数G和Neumann函数G的以下变分公式:
In his famous memoir [2](see also pp. 303-312 of the book [3]) Hadamard obtains the following variational formula for Green’s function G, and Neumann’s function G, associated with the Laplace operator A in a bounded 3-dimensional domain Sz with boundary &Q: