Some Considerations of the Invertibility Verifications for Linear Elliptic Operators
Some Considerations of the Invertibility Verifications for Linear Elliptic Operators
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线性椭圆算子可逆性验证的一些思考
DOI：
10.1137/120894683
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发表时间：
2015
影响因子：
0.9
通讯作者：
and Nobito Yamamoto
中科院分区：
文献类型：
--
作者：
Mitsuhiro T. Nakao;Yoshitaka Watanabe;Takehiko Kinoshita;Takuma Kimura;and Nobito Yamamoto
本文给出了Hilbert空间中自伴或非自伴特征值问题的特征值排除方法，包括偏微分算子问题。特征值外闭包是指确定复域中不包含给定问题的特征值的子集。报道了几个已验证的常微分算子和偏微分算子的特征值排除结果。
This paper presents eigenvalue excluding methods for self-adjoint or non-self-adjoint eigenvalue problems in Hilbert spaces, including problems with partial differential operators. Eigenvalue exclosure means the determination of subsets of the complex field which do not contain eigenvalues of the given problem. Several verified eigenvalue excluding results for ordinary and partial differential operators are reported on.