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A nonlinear boundary value problem arising in growing cell populations

✍ Scribed by Khalid Latrach; Aref Jeribi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
148 KB
Volume
36
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

On the solvability of a nonlinear bounda
On the solvability of a nonlinear boundary value problem arising in the theory of growing cell populations
✍ K. Latrach; M. A. Taoudi; A. Zeghal πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 153 KB

## Abstract In this paper we establish some results regarding the existence of solution on __L__~1~ spaces to a nonlinear boundary value problem originally proposed by Lebowitz and Rubinow (__J. Math. Biol.__ 1974; **1**:17–36) to model an age‐structured proliferating cell population. Our approach,

On a transport operator arising in growi
On a transport operator arising in growing cell populations II. Cauchy problem
✍ 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
Well-posedness of a nonlinear evolution equation arising in growing cell population
✍ 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.