Solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter

Bahram A. Aliev, Vugar Z. Kerimov, Yakov S. Yakubov

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In a separable Hilbert space H, we study solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter. The parameter enters into the equation and boundary conditions. In addition to the complex parameter, the boundary conditions contain linear operators as well, one of which is unbounded. Application of the obtained abstract results to elliptic boundary value problems is given.

Original languageEnglish
Pages (from-to)309-326
Number of pages18
JournalProceedings of the Institute of Mathematics and Mechanics
Volume47
Issue number2
DOIs
StatePublished - 2021

Keywords

  • Differential-operator equation
  • Elliptic equation
  • Fourier transform
  • Hilbert space
  • Interpolation spaces
  • Isomorphism

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