NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER

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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In a separable Hilbert space H, solvability of boundary value problems for a second order elliptic differential-operator equation with quadratic complex parameter is investigated. The complex parameter enters linearly into a boundary condition and the boundary conditions are non-separable. An application of the obtained abstract results to elliptic boundary value problems is given.

Original languageEnglish
Pages (from-to)190-205
Number of pages16
JournalProceedings of the Institute of Mathematics and Mechanics
Volume48
Issue number2
DOIs
StatePublished - 2022

Keywords

  • differential-operator equation
  • elliptic equation
  • interpolation spaces
  • isomorphism
  • noncoercive solvability

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