Hypercyclicity in the scattering theory for linear transport equation
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- by H. Emamirad
- Trans. Amer. Math. Soc. 350 (1998), 3707-3716
- DOI: https://doi.org/10.1090/S0002-9947-98-02062-5
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Abstract:
We show how the hypercyclicity of the transport semigroup can intervene in the scattering theory to characterize the density property of the Lax and Phillips representation theorem and conversely, how the existence of the wave operators of the scattering theory can be used for recovering the hypercyclicity of the absorbing transport group in some weighted $L^{1}$ spaces.References
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Bibliographic Information
- H. Emamirad
- Affiliation: Laboratoire de Modélisation Méchanique et de Mathématiques Appliquées, SP2MI. Université de Poitiers, Boulevard 3, Teleport 2, BP 179. 86 960 FUTUROSCOPE Cedex, France
- Email: emamirad@13ma.univ-poitiers.fr
- Received by editor(s): October 29, 1996
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 3707-3716
- MSC (1991): Primary 47D05; Secondary 82A70
- DOI: https://doi.org/10.1090/S0002-9947-98-02062-5
- MathSciNet review: 1451598