Weighted energy decay for 3D Klein-Gordon equation

被引：16
|
作者：
Komech, A. I. [1 ,2 ]
Kopylova, E. A. [2 ]
机构：
[1] Univ Vienna, Fak Math, A-1010 Vienna, Austria
[2] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 03期
关键词：
Dispersion; Klein-Gordon equation; Relativistic equations; Resolvent; Spectral representation; Weighted spaces; Continuous spectrum; Born series; Convolution; Long-time asymptotics; Asymptotic completeness; MULTICHANNEL NONLINEAR SCATTERING; SCHRODINGER-OPERATORS; ASYMPTOTIC STABILITY; SPECTRAL PROPERTIES; TIME-DECAY; EXPANSIONS; SOLITONS;
D O I：
10.1016/j.jde.2009.06.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a dispersive long-time decay in weighted energy norms for solutions of the 3D Klein-Gordon equation with generic potential. The decay extends the results obtained by Jensen and Kato for the 3D Schrodinger equation. For the proof we modify the spectral approach of Jensen and Kato to make it applicable to relativistic equations. (C) 2009 Elsevier Inc. All rights reserved.
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页码：501 / 520
页数：20
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