Steklov problems in perforated domains with a coefficient of indefinite sign
Steklov problems in perforated domains with a coefficient of indefinite sign
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具有不定符号系数的穿孔域中的 Steklov 问题
DOI：
10.3934/nhm.2012.7.151
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Andrey L. Piatnitski
中科院分区：
文献类型：
--
作者：
V. C. Piat;S. Nazarov;Andrey L. Piatnitski
我们考虑了一类发散的Steklov谱问题的均匀化
周期穿孔域上的型椭圆算子
假设频谱权重函数改变符号。我们证明了
光谱的极限行为基本上取决于
孔洞边界上的权函数为正、负或相等
为零在所有这些情况下，我们构造特征对的渐近性。
We consider homogenization of Steklov spectral problem for a divergence
form elliptic operator in periodically perforated domain under the
assumption that the spectral weight function changes sign. We show that the
limit behaviour of the spectrum depends essentially on wether the average of
the weight function over the boundary of holes is positive, or negative or equal
to zero. In all these cases we construct the asymptotics of the eigenpairs.