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.
|Number of pages||9|
|Publication status||Published - 2008 Feb|
- Mixed Dirichlet-Neumann conditions
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