Irreducibility and mixed boundary conditions

Robert Haller-Dintelmann, Matthias Georg Hieber, Joachim Rehberg

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper we consider positive semigroups on L p (Ω) generated by elliptic operators A subject to mixed Dirichlet-Neumann boundary conditions on non-smooth domains Ω. We show in particular that these semigroups as well as those generated by multiplicative perturbations bA of A are irreducible, provided b L (Ω) is real and satisfies b ε Linfinδ for some δ > 0.

Original languageEnglish
Pages (from-to)83-91
Number of pages9
JournalPositivity
Volume12
Issue number1
DOIs
Publication statusPublished - 2008 Feb
Externally publishedYes

Keywords

  • Irreducibility
  • Mixed Dirichlet-Neumann conditions

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis

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  • Cite this

    Haller-Dintelmann, R., Hieber, M. G., & Rehberg, J. (2008). Irreducibility and mixed boundary conditions. Positivity, 12(1), 83-91. https://doi.org/10.1007/s11117-007-2131-5