From Complex Analysis to Operator Theory: A Panorama - In Memory of Sergey Naboko
From Complex Analysis to Operator Theory: A Panorama - In Memory of Sergey Naboko
复制标题
从复分析到算子理论：全景——纪念谢尔盖·纳博科
DOI：
10.1007/978-3-031-31139-0_12
复制
发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Cherednichenko K
中科院分区：
文献类型：
--
作者：
Cherednichenko K
我们给出了一个概述的运营商的理论工具，最近被证明是有用的分析边界值和传输问题的二阶偏微分方程，以期解决，特别是，渐近行为的物理动机的参数相关的运营商家庭的解。一方面，我们展示了这个丰富领域与S。N.纳博科和他的学生，另一方面，在物理和工程界目前感兴趣的具体应用。
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.