Functional model for boundary-value problems

Kirill Cherednichenko, Alexander Kiselev, Luis Silva

Research output: Contribution to journalArticlepeer-review

Abstract

We develop a functional model for operators arising in the study of boundary-value problems of materials science and mathematical physics. We then provide explicit formulae for the resolvents of the associated extensions of symmetric operators in terms of appropriate Dirichlet-to-Neumann maps, which can be utilised in the analysis of the properties of parameter-dependent problems, including the study of their spectra. © 2021 The Authors. Mathematika is copyright © University College London.
Original languageEnglish
Pages (from-to)596 - 626
Number of pages25
JournalMathematika
Volume67
Issue number3
Early online date7 May 2021
DOIs
Publication statusPublished - 31 Jul 2021

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