Spectral properties of general advection operators and weighted translation semigroups

Bertrand Lods; Mohammed Sbihi (UMR 6623); Mustapha Mokhtar-Kharroubi (UMR 6623)

arxiv: 0805.3654 · v2 · submitted 2008-05-23 · 🧮 math.AP · math.FA· math.SP

Spectral properties of general advection operators and weighted translation semigroups

Bertrand Lods , Mustapha Mokhtar-Kharroubi (UMR 6623) , Mohammed Sbihi (UMR 6623) This is my paper

classification 🧮 math.AP math.FAmath.SP

keywords propertiessemigroupsspectralweightedabstractadvectionassociatedboundary

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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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Spectral properties of general advection operators and weighted translation semigroups

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