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- W2079413984 abstract "The purpose of this paper is to investigate some spectral properties of a time-dependent linear transport equation with diffusive boundary conditions arising in growing cell populations. After deriving the explicit expression of the strongly continuous semigroup {U K (t ): t ≥ 0} generated by the streaming operator, we establish the strict singularity of the operator BU K (s)B, s> 0, for a wide class of collision operators B. Making use of the Weis theorem, Theorem 4.1, this enables us to estimate the essential type of the transport semigroup from which the asymptotic behavior of the solution is derived." @default.
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- W2079413984 date "2005-06-01" @default.
- W2079413984 modified "2023-10-18" @default.
- W2079413984 title "The Asymptotic Behavior of the Solution to a Cauchy Problem Governed by a Transport Operator" @default.
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- W2079413984 doi "https://doi.org/10.1216/jiea/1181075321" @default.
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