✦ LIBER ✦

Well-posedness of a nonlinear evolution equation arising in growing cell population

✍ Scribed by Jesús Garcia-Falset

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 156 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1473

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 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 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 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,