A remark on the Frequent Hypercyclicity Criterion for weighted composition semigroups and an application to the linear von Foerster–Lasota equation |
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| Authors: | T. Kalmes |
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| Affiliation: | Technische Universit?t Chemnitz, Fakult?t für Mathematik, Chemnitz, Germany |
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| Abstract: | We generalize a result for the translation C0‐semigroup on  about the equivalence of being chaotic and satisfying the Frequent Hypercyclicity Criterion due to Mangino and Peris 8 to certain weighted composition C0‐semigroups. Such C0‐semigroups appear in a natural way when dealing with initial value problems for linear first order partial differential operators. We apply our result to the linear von Foerster–Lasota equation arising in mathematical biology. Weighted composition C0‐semigroups on Sobolev spaces are also considered. |
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| Keywords: | Frequently hypercyclic C0‐semigroup chaotic C0‐semigroup weighted composition C0‐semigroup 47A16 47D06 47F05 |
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