Title of article
Weighted energy decay for 3D Klein–Gordon equation
Author/Authors
A.I. Komech، نويسنده , , E.A. Kopylova، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
20
From page
501
To page
520
Abstract
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 Schrödinger equation. For the proof we modify the spectral approach of Jensen and Kato to make it applicable to relativistic equations
Keywords
DispersionKlein–Gordon equationRelativistic equationsResolventSpectral representationWeighted spacesContinuous spectrumBorn seriesConvolutionLong-time asymptoticsAsymptotic completeness
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2010
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751664
Link To Document