Linear Age - Dependent Population

نویسنده

  • WALTRAUD HUYER
چکیده

A linear model for an age-structured population with random diiusion in a bounded domain R n is studied in the semigroup framework in L 2. Three diierent approaches to establishing well-posedness of the problem are presented. Two of them involve applying known results on the m-dissipativeness of the sum of two m-dissipative operators to the population operator and the diiusion operator. 1. Introduction Mathematical models for age-structured populations with spatial diiusion were proposed by Gurtin (1973). Many authors have dealt with linear and nonlinear problems of this kind since then (cf. the bibliography Huyer (1992)). In this paper we consider a linear model for an age-structured population with random

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تاریخ انتشار 2007