Coupling of symmetric operators and the third Green identity

Coupling of symmetric operators and the third Green identity The principal aim of this paper is to derive an abstract form of the third Green identity associated with a proper extension T of a symmetric operator S in a Hilbert space $$\mathfrak {H}$$ H , employing the technique of quasi boundary triples for T. The general results are illustrated with couplings of Schrödinger operators on Lipschitz domains on smooth, boundaryless, compact Riemannian manifolds. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of Mathematical Sciences Springer Journals

Coupling of symmetric operators and the third Green identity

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by The Author(s)
Subject
Mathematics; Mathematics, general
ISSN
1664-3607
eISSN
1664-3615
D.O.I.
10.1007/s13373-017-0105-x
Publisher site
See Article on Publisher Site

Abstract

The principal aim of this paper is to derive an abstract form of the third Green identity associated with a proper extension T of a symmetric operator S in a Hilbert space $$\mathfrak {H}$$ H , employing the technique of quasi boundary triples for T. The general results are illustrated with couplings of Schrödinger operators on Lipschitz domains on smooth, boundaryless, compact Riemannian manifolds.

Journal

Bulletin of Mathematical SciencesSpringer Journals

Published: Mar 30, 2017

References

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