Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain

Yakov Yakubov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Boundary-value problems for second order abstract differential equations on a semi-axis are considered in this article. We find isomorphisms for the corresponding operators and prove completeness of elementary solutions corresponding to subsets of eigenvalues. As an application of the abstract results, we study second order elliptic equations in semi-infinite tube domains. Our results can be applied to pure differential, integrodifferential, functional-differential and equations with a shift.

Original languageEnglish
Pages (from-to)XLIII-XLIV
JournalElectronic Journal of Differential Equations
Volume2002
StatePublished - 2002

Keywords

  • Abstract differential equations
  • Completeness
  • Isomorphism
  • Second order elliptic equations
  • Semi-infinite tube domains

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