Details
| Original language | English |
|---|---|
| Pages (from-to) | 1821–1848 |
| Number of pages | 28 |
| Journal | Indiana University Mathematics Journal |
| Volume | 72 |
| Issue number | 5 |
| Publication status | Published - 2023 |
Abstract
The linear semigroup associated with age-structured diffusive populations is investigated in the L 1-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.
Keywords
- Age structure, asynchronous exponential growth, parabolic evolution operators, semigroups of linear operators
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Indiana University Mathematics Journal, Vol. 72, No. 5, 2023, p. 1821–1848.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Properties of the Semigroup in L1 Associated with Age-Structured Diffusive Populations
AU - Walker, Christoph
N1 - Publisher Copyright: © 2023 Department of Mathematics, Indiana University. All rights reserved.
PY - 2023
Y1 - 2023
N2 - The linear semigroup associated with age-structured diffusive populations is investigated in the L 1-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.
AB - The linear semigroup associated with age-structured diffusive populations is investigated in the L 1-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.
KW - Age structure
KW - asynchronous exponential growth
KW - parabolic evolution operators
KW - semigroups of linear operators
UR - http://www.scopus.com/inward/record.url?scp=85181912868&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2109.01573
DO - 10.48550/arXiv.2109.01573
M3 - Article
VL - 72
SP - 1821
EP - 1848
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
SN - 0022-2518
IS - 5
ER -