Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations

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  • Christoph Walker

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OriginalspracheEnglisch
Seiten (von - bis)481-501
Seitenumfang21
FachzeitschriftMonatshefte fur Mathematik
Jahrgang170
Ausgabenummer3-4
PublikationsstatusVeröffentlicht - Juni 2013

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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Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations. / Walker, Christoph.
in: Monatshefte fur Mathematik, Jahrgang 170, Nr. 3-4, 06.2013, S. 481-501.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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