Quasi boundary triples and semi-bounded self-adjoint extensions

0479661 - ÚJF 2018 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA14-06818S
Institucionální podpora: RVO:61389005
Klíčová slova: semi-bounded operator * boundary triple * Weyl function * eliptic differential operator * Dirichlet-Neumann map
Obor OECD: Applied mathematics
Impakt faktor: 0.889, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0275633