Asymptotic analysis of operator families and applications to resonant media

Kirill D. Cherednichenko, Yulia Yu Ershova, Alexander V. Kiselev, Vladimir A. Ryzhov, Luis O. Silva

Research output: Chapter or section in a book/report/conference proceedingChapter or section

Abstract

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.
Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherBirkhäuser
Number of pages62
Publication statusAcceptance date - 27 Jul 2022

Publication series

NameOperator Theory: Advances and Applications

Keywords

  • math.SP
  • math-ph
  • math.AP
  • math.MP

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