Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 481-501 |
Seitenumfang | 21 |
Fachzeitschrift | Monatshefte fur Mathematik |
Jahrgang | 170 |
Ausgabenummer | 3-4 |
Publikationsstatus | Veröffentlicht - 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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: Monatshefte fur Mathematik, Jahrgang 170, Nr. 3-4, 06.2013, S. 481-501.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations
AU - Walker, Christoph
N1 - Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/6
Y1 - 2013/6
N2 - 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.
AB - 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.
KW - Age structure
KW - Asynchronous exponential growth
KW - Maximal regularity
KW - Semigroups of linear operators
UR - http://www.scopus.com/inward/record.url?scp=84878111814&partnerID=8YFLogxK
U2 - 10.1007/s00605-012-0428-3
DO - 10.1007/s00605-012-0428-3
M3 - Article
AN - SCOPUS:84878111814
VL - 170
SP - 481
EP - 501
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
SN - 0026-9255
IS - 3-4
ER -