Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations |
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| Authors: | Christoph Walker |
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| Institution: | 1. Institut für Angewandte Mathematik, Leibniz Universit?t Hannover, Welfengarten 1, Hannover, ?30167, Germany
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| 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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