THE ROLE OF DOMINATION AND SMOOTHING CONDITIONS IN THE THEORY OF EVENTUALLY POSITIVE SEMIGROUPS

DOI10.1017/S0004972717000260MaRDI QIDQ5369406

Daniel Daners, Jochen Glück

Publication date: 17 October 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07309

zbMATH Keywords

Perron-Frobenius theoryeventually positive semigroupone-parameter semigroups of linear operatorsdomination conditionsmoothing condition

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Positive linear operators and order-bounded operators (47B65) Linear differential equations in abstract spaces (34G10)

Related Items (8)

Evolution equations with eventually positive solutions ⋮ Eventual domination for linear evolution equations ⋮ Spectrum and convergence of eventually positive operator semigroups ⋮ A characterization of the individual maximum and anti-maximum principle ⋮ A criterion for the uniform eventual positivity of operator semigroups ⋮ Spectral gaps for hyperbounded operators ⋮ An operator theoretic approach to uniform (anti-)maximum principles ⋮ Semilinear elliptic equations on rough domains

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