Quasi boundary triples, self-adjoint extensions, and Robin Laplacians on the half-space

Jussi Behrndt; Peter Schlosser

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arXiv · 1803.06974

Quasi boundary triples, self-adjoint extensions, and Robin Laplacians on the half-space

Jussi Behrndt·Peter Schlosser

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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.

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BibTeX RIS

Jussi Behrndt, Peter Schlosser. 2018-03-19. Quasi boundary triples, self-adjoint extensions, and Robin Laplacians on the half-space. https://arxiv.org/abs/1803.06974

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