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 ≥ δ for some δ > 0.
Positivity – Springer Journals
Published: Oct 29, 2007
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