论文标题
对操作员家庭的渐近分析以及对共振媒体的应用
Asymptotic analysis of operator families and applications to resonant media
论文作者
论文摘要
我们概述了运算符理论工具，这些工具最近被证明在分析二阶部分偏微分方程的边界值和传输问题中有用，并认为特别是解决了具有物理动机参数依赖性操作员家族的分析的渐近行为。一方面，我们演示了这个富裕地区与S. N. Naboko及其学生以及另一方面开发的功能框架的联系，以具体应用当前对物理和工程社区的兴趣。
We give an overview of operator-theoretic tools that have recently proved useful in the analysis of boundary-value and transmission problems for second-order partial differential equations, with a view to addressing, in particular, the asymptotic behaviour of resolvents of physically motivated parameter-dependent operator families. We demonstrate the links of this rich area, on the one hand, to functional frameworks developed by S. N. Naboko and his students, and on the other hand, to concrete applications of current interest in the physics and engineering communities.
