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Perturbation Analysis of Analytic Bisemigroups and Applications to Linear Transport Theory

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Special Classes of Linear Operators and Other Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 28))

Abstract

A perturbation theorem is derived for bounded analytic bisemigroups on Banach spaces with the compact approximation property. The technique utilizes an abstract formulation of the Bochner-Phillips Theorem. The perturbation theorem is then applied to study uniqueness and existence of solutions of a boundary value problem in kinetic theory.

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Author information

Authors and Affiliations

  1. INRE, Bulg. Acad. of Sciences, Blvd. Lenin 72, Sofia, 1184, Bulgaria

    Alexander Ganchev

  2. Dept. of Mathematics and Center for Transport Theory and Math. Physics, Virginia Tech., Blacksburg, VA, 24061, USA

    William Greenberg

  3. Dept. of Physics & Astronomy, Free University Amsterdam, Amsterdam, Netherlands

    C. V. M. van der Mee

Authors
  1. Alexander Ganchev
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  2. William Greenberg
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  3. C. V. M. van der Mee
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Editor information

Editors and Affiliations

  1. Department of Mathematics, INCREST, Bd. Pacii 220, 79622, Bucharest, Romania

    Gr. Arsene

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© 1988 Birkhäuser Verlag Basel

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Ganchev, A., Greenberg, W., van der Mee, C.V.M. (1988). Perturbation Analysis of Analytic Bisemigroups and Applications to Linear Transport Theory. In: Arsene, G. (eds) Special Classes of Linear Operators and Other Topics. Operator Theory: Advances and Applications, vol 28. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9164-6_7

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  • DOI: https://doi.org/10.1007/978-3-0348-9164-6_7

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-7643-1970-0

  • Online ISBN: 978-3-0348-9164-6

  • eBook Packages: Springer Book Archive

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