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A characterization of essential pseudospectra of the multivalued operator matrix

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Abstract

The main goal of this paper is to give a characterization of the essential pseudospectra of \(2\times 2\) matrix of linear relations on a Banach space. We start by giving the definition and we investigate the characterization and some properties of the essential pseudospectra. Furthermore, we apply the obtained result to determine the essential pseudospectra of two-group transport equation with general boundary conditions in the Banach space.

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Authors and Affiliations

  1. Departement of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Route de soukra Km 3.5, B. P 1171, 3000, Sfax, Tunisia

    Aymen Ammar, Aref Jeribi & Bilel Saadaoui

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  1. Aymen Ammar
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  2. Aref Jeribi
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  3. Bilel Saadaoui
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Correspondence to Aref Jeribi.

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Ammar, A., Jeribi, A. & Saadaoui, B. A characterization of essential pseudospectra of the multivalued operator matrix. Anal.Math.Phys. 8, 325–350 (2018). https://doi.org/10.1007/s13324-017-0170-z

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  • DOI: https://doi.org/10.1007/s13324-017-0170-z

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