Hypercyclicity in the scattering theory for linear transport equation
Authors:
H. Emamirad
Affiliation:
Laboratoire de Modélisation Méchanique et de Mathématiques Appliquées, SP2MI. Université de Poitiers, Boulevard 3, Teleport 2, BP 179. 86 960 FUTUROSCOPE Cedex, France
Abstract:
We show how the hypercyclicity of the transport semigroup can intervene in the scattering theory to characterize the density property of the Lax and Phillips representation theorem and conversely, how the existence of the wave operators of the scattering theory can be used for recovering the hypercyclicity of the absorbing transport group in some weighted spaces.