Spectral shift functions and Dirichlet-to-Neumann maps

The spectral shift function of a pair of self-adjoint operators is expressed via an abstract operator-valued Titchmarsh–Weyl m-function. This general result is applied to different self-adjoint realizations of second-order elliptic partial differential operators on smooth domains with compact bounda...

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Detalles Bibliográficos
Autores principales: Behrndt, Jussi, Gesztesy, Fritz, Nakamura, Shu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6407858/
https://www.ncbi.nlm.nih.gov/pubmed/30930488
http://dx.doi.org/10.1007/s00208-017-1593-4
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author Behrndt, Jussi
Gesztesy, Fritz
Nakamura, Shu
author_facet Behrndt, Jussi
Gesztesy, Fritz
Nakamura, Shu
author_sort Behrndt, Jussi
collection PubMed
description The spectral shift function of a pair of self-adjoint operators is expressed via an abstract operator-valued Titchmarsh–Weyl m-function. This general result is applied to different self-adjoint realizations of second-order elliptic partial differential operators on smooth domains with compact boundaries and Schrödinger operators with compactly supported potentials. In these applications the spectral shift function is determined in an explicit form with the help of (energy parameter dependent) Dirichlet-to-Neumann maps.
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spelling pubmed-64078582019-03-27 Spectral shift functions and Dirichlet-to-Neumann maps Behrndt, Jussi Gesztesy, Fritz Nakamura, Shu Math Ann Article The spectral shift function of a pair of self-adjoint operators is expressed via an abstract operator-valued Titchmarsh–Weyl m-function. This general result is applied to different self-adjoint realizations of second-order elliptic partial differential operators on smooth domains with compact boundaries and Schrödinger operators with compactly supported potentials. In these applications the spectral shift function is determined in an explicit form with the help of (energy parameter dependent) Dirichlet-to-Neumann maps. Springer Berlin Heidelberg 2017-09-23 2018 /pmc/articles/PMC6407858/ /pubmed/30930488 http://dx.doi.org/10.1007/s00208-017-1593-4 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Behrndt, Jussi
Gesztesy, Fritz
Nakamura, Shu
Spectral shift functions and Dirichlet-to-Neumann maps
title Spectral shift functions and Dirichlet-to-Neumann maps
title_full Spectral shift functions and Dirichlet-to-Neumann maps
title_fullStr Spectral shift functions and Dirichlet-to-Neumann maps
title_full_unstemmed Spectral shift functions and Dirichlet-to-Neumann maps
title_short Spectral shift functions and Dirichlet-to-Neumann maps
title_sort spectral shift functions and dirichlet-to-neumann maps
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6407858/
https://www.ncbi.nlm.nih.gov/pubmed/30930488
http://dx.doi.org/10.1007/s00208-017-1593-4
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