Positivity and stability for a population equation with diffusion on \(L^1\)
type: Item
instance of: scholarly article
title: Positivity and stability for a population equation with diffusion on \(L^1\)
zbMATH Open document ID: 0918.34058
DOI: 10.1023/A:1009721915101
author: A. Rhandi
published in: Positivity
publication date: 1999-08-02T00:00:00Z
review text: Continuing his joint work with \textit{G. Nickel} [Differ. Integral Equ. (to appear)], the author discusses a linear age-dependent population equation with spatial diffusion and spatial dependence of birth and death rates. Using sophisticated methods from semigroup theory such as extrapolation spaces and evolution semigroups and from the spectral theory of positive operators, he obtains wellposedness of the equation and a detailed description of the asymptotic behavior of the solutions.
reviewed by: Rainer Nagel
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 47B65
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A55
zbMATH DE Number: 1203803
zbMATH Keywords: linear age-dependent population equation
zbMATH Keywords: spatial diffusion
zbMATH Keywords: birth and death rates
MaRDI profile type: Publication
full work available at URL: a:1009721915101
OpenAlex ID: W139902242
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description: scientific article; zbMATH DE number 1203803