Linear dynamics of semigroups generated by differential operators

Abstract

During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the sense of Li-Yorke, subchaos, mixing and weakly mixing 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.

Keywords

• hypercyclicity
• topological transitivity
• topologically mixing property
• devaney chaos
• c0-semigroups
• 47a16