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Quasi boundary triples and semi-bounded self-adjoint extensions

  • Jussi Behrndt (a1), Matthias Langer (a2), Vladimir Lotoreichik (a3) and Jonathan Rohleder (a4)

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.

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* Present address: Stockholms Universitet, Matematik, 10691 Stockholm, Sweden ().

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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