Spectral properties of general advection operators and weighted translation semigroups

Details Spectral properties of general advection operators and weighted translation semigroups Spectral properties of general advection operators and weighted translation semigroups

2008-05-23

arxiv.org/abs/0805.3654v2

Mathematics

Analysis of PDEs

Scientific paper

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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