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Quasi boundary triples and semi-bounded self-adjoint extensions
2017
Proceedings of the Royal Society of Edinburgh. Section A Mathematics
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In this note semi-bounded self-adjoint extensions of symmetric operators are investigated with the help of the abstract notion of quasi boundary triples and their Weyl functions. The main purpose is to provide new sufficient conditions on the parameters in the boundary space to induce self-adjoint realizations, and to relate the decay of the Weyl function to estimates on the lower bound of the spectrum. The abstract results are illustrated with uniformly elliptic second-order partial
doi:10.1017/s0308210516000421
fatcat:n46qr74v75hzpcsd6oydzreyey