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On long-time decay for modified Klein-Gordon equation

Commun. Math. Anal. Conf.
Conference 3 (2011), 137 - 152

On long-time decay for modified Klein-Gordon equation

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Abstract

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.