Spectral estimates for resolvent differences of self-adjoint elliptic operators

Behrndt, Jussi and Langer, Matthias and Lotoreichik, Vladimir (2013) Spectral estimates for resolvent differences of self-adjoint elliptic operators. Integral Equations and Operator Theory, 77 (1). pp. 1-37. ISSN 0378-620X

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    Abstract

    The concept of quasi boundary triples and Weyl functions from extension theory of symmetric operators in Hilbert spaces is developed further and spectral estimates for resolvent differences of two self-adjoint extensions in terms of general operator ideals are proved. The abstract results are applied to self-adjoint realizations of second order elliptic differential operators on bounded and exterior domains, and partial differential operators with δ-potentials supported on hypersurfaces are studied.

    ORCID iDs

    Behrndt, Jussi, Langer, Matthias ORCID logoORCID: https://orcid.org/0000-0001-8813-7914 and Lotoreichik, Vladimir;
    • Item type:Article
      ID code:44275
      Dates:
      Date
      Event
      September 2013
      Published
      1 July 2013
      Published Online
      Notes:The final publication is available at Springer via http://dx.doi.org/10.1007%2Fs00020-013-2072-2
      Keywords:elliptic operator, self-adjoint extension, operator ideal, delta-potential, quasi boundary triple, Weyl function, Probabilities. Mathematical statistics, Statistics and Probability
      Subjects:Science > Mathematics > Probabilities. Mathematical statistics
      Department:Faculty of Science > Mathematics and Statistics
      Depositing user: Pure Administrator
      Date deposited:03 Jul 2013 10:37
      Last modified:03 Dec 2021 06:10
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/44275
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