Spectral analysis of transport equations with bounce-back boundary conditions
Autor: | Latrach, Khalid, Lods, Bertrand |
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Rok vydání: | 2008 |
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Druh dokumentu: | Working Paper |
DOI: | 10.1002/mma.1088 |
Popis: | 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 M. Sbihi \cite{Sbihi}, we prove, via a compactness argument, that the essential spectrum of the transport semigroup and that of the streaming semigroup coincide on all $L^p$-spaces with $1
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Databáze: | arXiv |
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