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arXiv · 0805.3654

Spectral properties of general advection operators and weighted translation semigroups

Bertrand Lods·Mustapha Mokhtar-Kharroubi·Mohammed Sbihi
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Abstract

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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Bertrand Lods, Mustapha Mokhtar-Kharroubi, Mohammed Sbihi. 2008-05-28. Spectral properties of general advection operators and weighted translation semigroups. https://arxiv.org/abs/0805.3654

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