RT journal article
T1 Linear dynamics of semigroups generated by differential operators
A1 Lizama, C.
A1 Conejero, J.A.
A1 Murillo Arcila, Marina
A1 Peris, A.
A2 Matemáticas
K1 Hypercyclicity
K1 topological transitivity
K1 topologically mixing property
K1 Devaney chaos
K1 C0-semigroups
AB During the last years, several notions have been introduced for describing thedynamical behavior of linear operators on in nite-dimensional spaces, such as hypercyclicity,chaos in the sense of Devaney, chaos in the sense of Li-Yorke, subchaos, mixing and weaklymixing properties, and frequent hypercyclicity, among others. These notions have been extended,as far as possible, to the setting of C0-semigroups of linear and continuous operators.We will review some of these notions and we will discuss basic properties of the dynamics ofC0-semigroups. We will also study in detail the dynamics of the translation C0-semigroup onweighted spaces of integrable functions and of continuous functions vanishing at in nity. Usingthe comparison lemma, these results can be transferred to the solution C0-semigroups of somepartial di erential equations. Additionally, we will also visit the chaos for in nite systems ofordinary di erential equations, that can be of interest for representing birth-and-death processor car-following tra c models
PB De Gruyter
SN 2391-5455
YR 2017
FD 2017
LK http://hdl.handle.net/10498/35438
UL http://hdl.handle.net/10498/35438
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026