Quasi boundary triples and semi-bounded self-adjoint extensions

0479661 - ÚJF 2018 RIV GB eng J - Journal Article
Behrndt, J. - Langer, M. - Lotoreichik, Vladimir - Rohleder, J.
Quasi boundary triples and semi-bounded self-adjoint extensions.
Proceedings of the Royal Society of Edinburgh. A - Mathematics. Roč. 147, č. 5 (2017), s. 895-916. ISSN 0308-2105. E-ISSN 1473-7124
R&D Projects: GA ČR(CZ) GA14-06818S
Institutional support: RVO:61389005
Keywords : semi-bounded operator * boundary triple * Weyl function * eliptic differential operator * Dirichlet-Neumann map
OECD category: Applied mathematics
Impact factor: 0.889, year: 2017

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 differential equations on domains with non-compact boundaries.
Permanent Link: http://hdl.handle.net/11104/0275633