Weighted Energy Decay for 3D Klein-Gordon Equation

Details Weighted Energy Decay for 3D Klein-Gordon Equation Weighted Energy Decay for 3D Klein-Gordon Equation

2010-03-19

arxiv.org/abs/1003.3799v1

Mathematics

Analysis of PDEs

Scientific paper

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 Schredinger equation. For the
proof we modify the spectral approach of Jensen and Kato to make it applicable
to relativistic equations.

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