Some Remarks About the Semigroup Associated to Age-Structured Diffusive Populations

2012/01/12 by Christoph Walker, Walker, Christoph
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1201.2589

openalex publication_date 2012/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider linear age-structured population equations with diffusion. Supposing maximal regularity of the diffusion operator, we characterize the generator and its spectral properties of the associated strongly continuous semigroup. In particular, we provide conditions for stability of the zero solution and for asynchronous exponential growth.

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