Irreducibility and Mixed Boundary Conditions |
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| Authors: | Robert Haller-Dintelmann Matthias Hieber Joachim Rehberg |
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| Institution: | 1. Fachbereich Mathematik, Technische Universit?t Darmstadt, Schlossgartenstr. 7, 64289, Darmstadt, Germany
2. Weierstrass-Institut für Angewandte Analysis und Stochastik (WIAS), Mohrenstr. 39, 10117, Berlin, Germany
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| Abstract: | In this paper we consider positive semigroups on Lp(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.
In memoriam Helmut H. Schaefer |
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| Keywords: | Primary 35B45 Secondary 35B65 35K10 |
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