Essential spectrum due to singularity

Research output: Contribution to journalArticle

Abstract

It is proven that the essential spectrum of any self-adjoint operator associated with the matrix differential expression [GRAPHICS] consists of two branches. One of these branches (called regularity spectrum) can be obtained by approximating the operator by regular operators (with coefficients which are bounded near the origin), the second branch (called singularity spectrum) appears due to singularity of the coefficients.

Details

Authors
  • Pavel Kurasov
  • S Naboko
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics
Original languageEnglish
Pages (from-to)93-106
JournalJournal of Nonlinear Mathematical Physics
Volume10
Publication statusPublished - 2003
Publication categoryResearch
Peer-reviewedYes