Quasi boundary triples, self-adjoint extensions, and Robin Laplacians on the half-space
Spectral Theory
2018-03-20 v1
Abstract
In this note self-adjoint extensions of symmetric operators are investigated by using the abstract technique of quasi boundary triples and their Weyl functions. The main result is an extension of Theorem 2.6 in [5] which provides sufficient conditions on the parameter in the boundary space to induce self-adjoint realizations. As an example self-adjoint Robin Laplacians on the half-space with boundary conditions involving an unbounded coefficient are considered.
Cite
@article{arxiv.1803.06974,
title = {Quasi boundary triples, self-adjoint extensions, and Robin Laplacians on the half-space},
author = {Jussi Behrndt and Peter Schlosser},
journal= {arXiv preprint arXiv:1803.06974},
year = {2018}
}