Irreducibility and mixed boundary conditions

Robert Haller-Dintelmann; Matthias Georg Hieber; Joachim Rehberg

doi:10.1007/s11117-007-2131-5

Irreducibility and mixed boundary conditions

Robert Haller-Dintelmann^*, Matthias Georg Hieber, Joachim Rehberg

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 L^infinδ for some δ > 0.

Original language	English
Pages (from-to)	83-91
Number of pages	9
Journal	Positivity
Volume	12
Issue number	1
DOIs	https://doi.org/10.1007/s11117-007-2131-5
Publication status	Published - 2008 Feb
Externally published	Yes

Keywords

Irreducibility
Mixed Dirichlet-Neumann conditions

ASJC Scopus subject areas

Mathematics(all)
Analysis

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10.1007/s11117-007-2131-5

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title = "Irreducibility and mixed boundary conditions",

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.",

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author = "Robert Haller-Dintelmann and Hieber, {Matthias Georg} and Joachim Rehberg",

year = "2008",

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AU - Haller-Dintelmann, Robert

AU - Hieber, Matthias Georg

AU - Rehberg, Joachim

PY - 2008/2

Y1 - 2008/2

N2 - 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.

AB - 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.

KW - Irreducibility

KW - Mixed Dirichlet-Neumann conditions

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DO - 10.1007/s11117-007-2131-5

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VL - 12

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EP - 91

JO - Positivity

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IS - 1

ER -

Irreducibility and mixed boundary conditions

Abstract

Keywords

ASJC Scopus subject areas

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