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arXiv · 1607.07159

Coupling of symmetric operators and the third Green identity

Jussi Behrndt·Vladimir Derkach·Fritz Gesztesy·Marius Mitrea
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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 $\mathfrak H$, employing the technique of quasi boundary triples for $T$. The general results are illustrated with couplings of Schr\"{o}dinger operators on Lipschitz domains on smooth, boundaryless Riemannian manifolds.

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Jussi Behrndt, Vladimir Derkach, Fritz Gesztesy, Marius Mitrea. 2016-07-25. Coupling of symmetric operators and the third Green identity. https://arxiv.org/abs/1607.07159

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