Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators

DOI10.1016/j.jmaa.2009.10.063zbMath1196.47033OpenAlexW2035651050MaRDI QIDQ847787

Thomas Kalmes

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.063

zbMATH Keywords

mixingtransitivityhypercyclicitycosine operator functions

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (15)

Dynamics of the solutions of the water hammer equations ⋮ Linear dynamics of semigroups generated by differential operators ⋮ Hypercyclicity and topologically mixing property for abstract time-fractional equations ⋮ Hypercyclic and topologically mixing properties of degenerate multi-term fractional differential equations ⋮ Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations ⋮ Disjoint topological transitivity for cosine operator functions on weighted Orlicz spaces ⋮ Hypercyclic generalized shift operators ⋮ Topologically transitive sequence of cosine operators on Orlicz spaces ⋮ Chaos for cosine operator functions on groups ⋮ Disjoint topological transitivity for cosine operator functions on groups ⋮ Linear dynamics of discrete cosine functions on solid Banach function spaces ⋮ Strong mixing measures for \(C_0\)-semigroups ⋮ CHAOS IN THE WEIGHTED BIEBUTOV SYSTEMS ⋮ Dynamics of weighted translations generated by group actions ⋮ Topological transitivity for cosine operator functions on groups

Cites Work

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• On the existence of chaotic and hypercyclic semigroups on Banach spaces
• Hypercyclic, mixing, and chaoticC₀-semigroups induced by semiflows
• Hypercyclic and topologically mixing cosine functions on Banach spaces

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