On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups


Marko Kostić




We enquire into the basic structural properties of positively supercyclic strongly continuous semigroups induced by locally Lipschitz continuous semiflows in the setting of weighted $L^{p}$ and $C_{0}$-type spaces. We also introduce and investigate disjoint hypercyclic semigroups whose index set is an appropriate sector of the complex plane. Several illustrative examples are also provided in order to justify our analysis.