Properties of the Semigroup in \(L_1\) Associated with Age-Structured Diffusive Populations

Research output: Working paper/Preprint › Preprint

Authors

  • Christoph Walker

Research Organisations

View graph of relations

Details

Original languageUndefined/Unknown
Publication statusE-pub ahead of print - 3 Sept 2021

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

    math.AP, 47D06, 47A10, 35K90, 35M10, 92D25

Cite this

Properties of the Semigroup in \(L_1\) Associated with Age-Structured Diffusive Populations. / Walker, Christoph.
2021.

Research output: Working paper/Preprint › Preprint

Download
@techreport{9d4b056034f64f6bb3553ce30a4a969f,
title = "Properties of the Semigroup in \(L_1\) Associated with Age-Structured Diffusive Populations",
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 = "math.AP, 47D06, 47A10, 35K90, 35M10, 92D25",
author = "Christoph Walker",
note = "Updated version. To appear in Indiana Univ. Math. J",
year = "2021",
month = sep,
day = "3",
language = "Undefined/Unknown",
type = "WorkingPaper",

}

Download

TY - UNPB

T1 - Properties of the Semigroup in \(L_1\) Associated with Age-Structured Diffusive Populations

AU - Walker, Christoph

N1 - Updated version. To appear in Indiana Univ. Math. J

PY - 2021/9/3

Y1 - 2021/9/3

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 - math.AP

KW - 47D06, 47A10, 35K90, 35M10, 92D25

M3 - Preprint

BT - Properties of the Semigroup in \(L_1\) Associated with Age-Structured Diffusive Populations

ER -