Coupling of symmetric operators and the third Green identity

2016/07/25 by Behrndt, Jussi, Derkach, Vladimir, Gesztesy, Fritz +1
#47A57 #47B15 #47B25 #58J05 #58J32 #58J50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 47A10 #Secondary 47A55 #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1607.07159

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 Schrödinger operators on Lipschitz domains on smooth, boundaryless Riemannian manifolds.

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