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

Fingerprint

Positive Semigroup
Nonsmooth Domains
Mixed Boundary Conditions
Irreducibility
Neumann Boundary Conditions
Elliptic Operator
Dirichlet Boundary Conditions
Mathematical operators
Multiplicative
Semigroup
Boundary conditions
Perturbation

Keywords

  • Irreducibility
  • Mixed Dirichlet-Neumann conditions

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis

Cite this

Irreducibility and mixed boundary conditions. / Haller-Dintelmann, Robert; Hieber, Matthias Georg; Rehberg, Joachim.

In: Positivity, Vol. 12, No. 1, 02.2008, p. 83-91.

Research output: Contribution to journalArticle

Haller-Dintelmann, R, Hieber, MG & Rehberg, J 2008, 'Irreducibility and mixed boundary conditions', Positivity, vol. 12, no. 1, pp. 83-91. https://doi.org/10.1007/s11117-007-2131-5
Haller-Dintelmann, Robert ; Hieber, Matthias Georg ; Rehberg, Joachim. / Irreducibility and mixed boundary conditions. In: Positivity. 2008 ; Vol. 12, No. 1. pp. 83-91.
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