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Article Dans Une Revue Communications on Pure and Applied Mathematics Année : 2009

Spectral properties of general advection operators and weighted translation semigroups

Résumé

We investigate the spectral properties of a class of weighted shift semigroups associated to abstract transport equations with a Lipschitz--continuous vector field with no--reentry boundary conditions. We illustrate our results with various examples taken from collisionless kinetic theory.
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Dates et versions

hal-00281711 , version 1 (23-05-2008)
hal-00281711 , version 2 (28-05-2008)

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Citer

Bertrand Lods, Mustapha Mokhtar-Kharroubi, Mohammed Sbihi. Spectral properties of general advection operators and weighted translation semigroups. Communications on Pure and Applied Mathematics, 2009, 8 (5), pp.1469-1492. ⟨10.3934/cpaa.2009.8.1469⟩. ⟨hal-00281711v2⟩
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