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A dispersive estimate for the linear wave equation with an electromagnetic potential

Davide Catania
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Abstract

We consider radial solutions to the Cauchy problem for the linear wave equation with a small short-range electromagnetic potential (the "square version" of the massless Dirac equation with a potential) and zero initial data. We prove two a priori estimates that imply, in particular, a dispersive estimate.

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Davide Catania. 2006-01-02. A dispersive estimate for the linear wave equation with an electromagnetic potential. https://arxiv.org/abs/math/0601030

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