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Time asymptotic behavior of the solution of an abstract Cauchy problem given by a one-velocity transport operator with Maxwell boundary condition

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Abstract

This paper is devoted to describe the time asymptotic behavior of the solution of a one-velocity transport operator with Maxwell boundary condition on L 1-spaces. A practical way to study the behavior of the solution without restriction on the initial data is given.

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  1. Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, BP 1171, Route de Soukra km 3.5, 3000, Sfax, Tunisia

    Salma Charfi, Aref Jeribi & Nedra Moalla

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  1. Salma Charfi
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  2. Aref Jeribi
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  3. Nedra Moalla
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Correspondence to Aref Jeribi.

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Charfi, S., Jeribi, A. & Moalla, N. Time asymptotic behavior of the solution of an abstract Cauchy problem given by a one-velocity transport operator with Maxwell boundary condition. Collect. Math. 64, 97–109 (2013). https://doi.org/10.1007/s13348-011-0049-5

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  • DOI: https://doi.org/10.1007/s13348-011-0049-5

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