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- W3101604564 abstract "We investigate the spectral properties of the time-dependent linear transport equation with bounce-back boundary conditions. A fine analysis of the spectrum of the streaming operator is given and the explicit expression of the strongly continuous streaming semigroup is derived. Next, making use of a recent result from Sbihi (J. Evol. Equations 2007; 7:689–711), we prove, via a compactness argument, that the essential spectrum of the transport semigroup and that of the streaming semigroup coincide on all Lp-spaces with 1<p<∞. Application to the linear Boltzmann equation for granular gases is provided. Copyright © 2008 John Wiley & Sons, Ltd." @default.
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- W3101604564 date "2009-07-30" @default.
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- W3101604564 title "Spectral analysis of transport equations with bounce-back boundary conditions" @default.
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- W3101604564 doi "https://doi.org/10.1002/mma.1088" @default.
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