On operators generated by elliptic boundary problems with a spectral parameter in boundary conditions

Alexander Kozhevnikov, Sasun Yakubov

Research output: Contribution to journalArticlepeer-review

Abstract

General elliptic boundary value problems with the spectral parameter appearing linearly both in the elliptic equation and in boundary conditions are considered. It is proved that the corresponding matrix operator from the Boutet de Monvel algebra is similar to an almost diagonal operator. This result is applied to prove the completeness and the summability (in the sense of Abel) of the root vectors of this operator.

Original languageEnglish
Pages (from-to)205-231
Number of pages27
JournalIntegral Equations and Operator Theory
Volume23
Issue number2
DOIs
StatePublished - Jun 1995

Keywords

  • MSC: 35J55, 47A56

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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