M -functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems
M -functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems
复制标题
伴随算子对的闭扩展的 M 函数及其在椭圆边界问题中的应用
DOI：
10.1002/mana.200810740
复制
发表时间：
2009
影响因子：
1
通讯作者：
Brown B
中科院分区：
文献类型：
--
作者：
Brown B
在本文中，我们将算子扩展的结果与M函数与谱之间关系的最新结果结合起来，以研究边值问题的谱行为。M函数是为一般闭扩展定义的，并与椭圆算子的实现相关联。特别是，我们考虑 ODE 和 PDE 示例，其中操作员可能拥有 M 函数无法检测到的谱点（© 2009 WILEY-VCH Verlag GmbH & Co. KGaA，Weinheim）
In this paper, we combine results on extensions of operators with recent results on the relation between theM‐function and the spectrum, to examine the spectral behaviour of boundary value problems.M‐functions are defined for general closed extensions, and associated with realisations of elliptic operators. In particular, we consider both ODE and PDE examples where it is possible for the operator to possess spectral points that cannot be detected by theM‐function (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)