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Essential Spectra of a 3 × 3 Operator Matrix and an Application to Three-Group Transport Equations

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Abstract

In this paper we study spectral properties of a 3 × 3 block operator matrix with unbounded entries and with domain consisting of vectors which satisfy certain relations between their components. It is shown that, under certain conditions, this block operator matrix defines a closed operator, and the essential spectra of this operator are determined. These results are applied to a three-group transport equation.

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Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisie

    Afif Ben Amar, Aref Jeribi & Bilel Krichen

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  1. Afif Ben Amar
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  2. Aref Jeribi
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  3. Bilel Krichen
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Correspondence to Aref Jeribi.

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Amar, A.B., Jeribi, A. & Krichen, B. Essential Spectra of a 3 × 3 Operator Matrix and an Application to Three-Group Transport Equations. Integr. Equ. Oper. Theory 68, 1–21 (2010). https://doi.org/10.1007/s00020-010-1798-3

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  • DOI: https://doi.org/10.1007/s00020-010-1798-3

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