Balanced Exponential Growth of Operator Semigroups

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19 Scopus citations

Abstract

AC0-semigroupS(t),t≥0, on a Banach spaceX(weakly, strongly, uniformly) approachesbalanced (or asynchronous) exponential growthif there exists somes∈R such that[formula]exists (in the weak, strong, uniform operator topology) andPis not the 0 operator. In this paper, the strong and uniform approach to balanced exponential growth is characterized and applicable sufficient conditions are derived. The results will be applied to models for age-size-structured population dynamics in a forthcoming publication.

Original languageEnglish (US)
Pages (from-to)30-49
Number of pages20
JournalJournal of Mathematical Analysis and Applications
Volume223
Issue number1
DOIs
StatePublished - Jul 1 1998

Keywords

  • Semigroups; dual semigroups; essentially norm-continuous semigroups; Cauchy problems; positive perturbations; balanced (asynchronous) exponential growth

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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