On spectral properties and invertibility of some operators of mathematical physics

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Abstract

The main aim of the paper is to study the Fredholm property, essential spectrum, and invertibility of some operators of the Mathematical Physics, such that the Schrödinger and Dirac operators with complex elec- tric potentials, and Maxwell operators in absorbing at infinity media. This investigation is based on the limit operators method, and the uniqueness continuation property for the operators under consideration.

Original languageEnglish
Pages (from-to)119-139
Number of pages21
JournalMemoirs on Differential Equations and Mathematical Physics
Volume66
StatePublished - 2015

Keywords

  • Dirac
  • Limit operators
  • Maxwell operators
  • Schrödinger
  • Strongly elliptic systems

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