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Quasi boundary triples and semi-bounded self-adjoint extensions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00479661" target="_blank" >RIV/61389005:_____/17:00479661 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1017/S0308210516000421" target="_blank" >http://dx.doi.org/10.1017/S0308210516000421</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1017/S0308210516000421" target="_blank" >10.1017/S0308210516000421</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quasi boundary triples and semi-bounded self-adjoint extensions

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Proceedings of the Royal Society of Edinburgh. A - Mathematics

  • ISSN

    0308-2105

  • e-ISSN

  • Volume of the periodical

    147

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    22

  • Pages from-to

    895-916

  • UT code for WoS article

    000411736200001

  • EID of the result in the Scopus database

    2-s2.0-85021271562