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On a transport operator arising in growing cell populations II. Cauchy problem

✍ Scribed by Aref Jeribi; Hatem Megdiche; Nedra Moalla

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 155 KB
Volume: 28
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.552

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✦ Synopsis

This paper deals with Rotenberg's models of cell populations with general boundary conditions. It is shown, ÿrst, that the associated Cauchy problem is governed by a C 0 -semigroup. Second, we have proved that if the boundary operator is positive, the transport semigroup is irreducible. And ÿnally, a spectral decomposition of the solution into an asymptotic term was derived.

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