Hypercyclicity in the scattering theory for linear transport equation

被引：21
|
作者：
Emamirad, H [1 ]
机构：
[1] Univ Poitiers, Lab Modelisat Mech & Math Appl, SP2MI, F-86960 Futuroscope, France
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 09期
关键词：
hypercyclic semigroup; Lax and Phillips scattering theory; two similar semigroups;
D O I：
10.1090/S0002-9947-98-02062-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 L-1 spaces.
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页码：3707 / 3716
页数：10
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