𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral Analysis of a Transport Operator Arising in Growing Cell Populations

✍ Scribed by Abdelkader Dehici; Aref Jeribi; Khalid Latrach


Book ID
106334635
Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
594 KB
Volume
92
Category
Article
ISSN
0167-8019

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On a transport operator arising in growi
✍ Aref Jeribi; Hatem Megdiche; Nedra Moalla πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

This paper deals with Rotenberg's models of cell populations with general boundary conditions. It is shown, ΓΏrst, 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 ΓΏnally,

Well-posedness of a nonlinear evolution
✍ JesΓΊs Garcia-Falset πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 156 KB

## Communicated by M. Lachowicz We prove that a nonlinear evolution equation which comes from a model of an age-structured cell population endowed with general reproduction laws is well-posed.