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
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
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
