Properties of the Semigroup in L₁ Associated with Age-Structured Diffusive Populations

2021/09/03 by Walker, Christoph
#35K90 #35M10 #47A10 #47D06 #92D25 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2109.01573

Abstract

The linear semigroup associated with age-structured diffusive populations is investigated in the L₁-setting. A complete determination of its generator is given along with detailed spectral information that imply, in particular, an asynchronous exponential growth of the semigroup. Moreover, regularizing effects inherited from the diffusion part are exploited to derive additional properties of the semigroup.

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