Supercyclic and chaotic translation semigroups

DOI10.1090/S0002-9939-03-06960-0zbMath1056.47029MaRDI QIDQ4417257

Mino Yamada, Fukiko Takeo, Mai Matsui

Publication date: 28 July 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

chaotic semigroupssupercyclic semigroupsadmissible weight function

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Cyclic vectors, hypercyclic and chaotic operators (47A16) (C)-semigroups, regularized semigroups (47D60)

Related Items (16)

Exponential dichotomies for nonlocal differential operators with infinite range interactions ⋮ Supercyclic \(C_{0}\)-semigroups, stability and somewhere dense orbits ⋮ Hypercyclic and topologically mixing properties of degenerate multi-term fractional differential equations ⋮ Frequently hypercyclic translation semigroups ⋮ Recurrence and topological entropy of translation operators ⋮ Devaney chaos and distributional chaos in the solution of certain partial differential equations ⋮ Supercyclicity criteria for \(C_0\)-semigroups ⋮ Unnamed Item ⋮ \( \Gamma \)-supercyclicity of families of translates in weighted \(L^p\)-spaces on locally compact groups ⋮ Hypercyclic, mixing, and chaoticC₀-semigroups induced by semiflows ⋮ Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces ⋮ A simple characterization of chaos for weighted composition $C_0$-semigroups on Lebesgue and Sobolev spaces ⋮ \(\Gamma\)-supercyclicity for strongly continuous semigroups ⋮ Chaos and hypercyclicity for solution semigroups to some partial differential equations ⋮ Supercyclic translation \(C_0\)-semigroup on complex sectors ⋮ Unnamed Item

Cites Work

• Hypercyclic and chaotic semigroups of linear operators
• Unnamed Item

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