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arxiv: 1009.2649 · v2 · pith:UA2OEKJLnew · submitted 2010-09-14 · 🧮 math-ph · math.MP

On long-time decay for modified Klein-Gordon equation

classification 🧮 math-ph math.MP
keywords decayequationequationsklein-gordonlong-timeapplicableapproachdispersive
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We obtain a dispersive long-time decay in weighted energy norms for solutions of the Klein-Gordon equation in a moving frame. The decay extends the results of Jensen, Kato and Murata for the equations of the Schr\"odinger type. We modify the approach to make it applicable to relativistic equations.

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