Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples

Jussi Behrndt; Matthias Langer

Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples

Mathematics And Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

Abstract

The notion of quasi boundary triples and their Weyl functions is reviewed and applied to self-adjointness and spectral problems for a class of elliptic, formally symmetric, second order partial differential expressions with variable coefficients on bounded domains.

Original language	English
Title of host publication	Operator Methods for Boundary Value Problems
Editors	Seppo Hassi, Hendrik S. V. de Snoo, Franciszek Hugon Szafraniec
Publisher	Cambridge University Press
Pages	121-160
Number of pages	40
ISBN (Print)	9781107606111
Publication status	Published - Oct 2012

Publication series

Name	London Mathematial Society Lecture Note Series
Publisher	Cambridge University Press

Keywords

extension theory
Dirichlet-to-Neumann maps
symmetric operators
quasi boundary triple

Cite this

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title = "Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples",

abstract = "The notion of quasi boundary triples and their Weyl functions is reviewed and applied to self-adjointness and spectral problems for a class of elliptic, formally symmetric, second order partial differential expressions with variable coefficients on bounded domains.",

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booktitle = "Operator Methods for Boundary Value Problems",

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Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples. / Behrndt, Jussi; Langer, Matthias.

Operator Methods for Boundary Value Problems. ed. / Seppo Hassi; Hendrik S. V. de Snoo; Franciszek Hugon Szafraniec. Cambridge University Press, 2012. p. 121-160 (London Mathematial Society Lecture Note Series).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

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T1 - Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples

AU - Behrndt, Jussi

AU - Langer, Matthias

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N2 - The notion of quasi boundary triples and their Weyl functions is reviewed and applied to self-adjointness and spectral problems for a class of elliptic, formally symmetric, second order partial differential expressions with variable coefficients on bounded domains.

AB - The notion of quasi boundary triples and their Weyl functions is reviewed and applied to self-adjointness and spectral problems for a class of elliptic, formally symmetric, second order partial differential expressions with variable coefficients on bounded domains.

KW - extension theory

KW - Dirichlet-to-Neumann maps

KW - symmetric operators

KW - quasi boundary triple

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M3 - Chapter (peer-reviewed)

SN - 9781107606111

T3 - London Mathematial Society Lecture Note Series

SP - 121

EP - 160

BT - Operator Methods for Boundary Value Problems

A2 - Hassi, Seppo

A2 - de Snoo, Hendrik S. V.

A2 - Szafraniec, Franciszek Hugon

PB - Cambridge University Press

ER -

Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples

Abstract

Publication series

Keywords

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