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