Details
| Original language | English |
|---|---|
| Pages (from-to) | 2519-2543 |
| Number of pages | 25 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 28 |
| Issue number | 4 |
| Early online date | Sept 2022 |
| Publication status | Published - Apr 2023 |
Abstract
Keywords
- Age structure, evolution systems, semigroups of linear operators
ASJC Scopus subject areas
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Discrete and Continuous Dynamical Systems - Series B, Vol. 28, No. 4, 04.2023, p. 2519-2543.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An Evolution System for a Class of Age-Structured Diffusive Population Equations
AU - Walker, Christoph
N1 - Funding Information: I would like to express my gratitude to the anonymous referee for her/his helpful comments.
PY - 2023/4
Y1 - 2023/4
N2 - Kato's theory on the construction of strongly continuous evolution systems associated with hyperbolic equations is applied to the linear equation describing an age-structured population that is subject to time-dependent diffusion. The evolution system is used to provide conditions for the well-posedness of the corresponding quasilinear equation.
AB - Kato's theory on the construction of strongly continuous evolution systems associated with hyperbolic equations is applied to the linear equation describing an age-structured population that is subject to time-dependent diffusion. The evolution system is used to provide conditions for the well-posedness of the corresponding quasilinear equation.
KW - Age structure
KW - evolution systems
KW - semigroups of linear operators
UR - http://www.scopus.com/inward/record.url?scp=85147934300&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2203.07198
DO - 10.48550/arXiv.2203.07198
M3 - Article
VL - 28
SP - 2519
EP - 2543
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
SN - 1531-3492
IS - 4
ER -