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arxiv: math/0601030 · v1 · submitted 2006-01-02 · 🧮 math.AP

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

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keywords equationpotentialdispersiveelectromagneticestimatelinearwavecauchy
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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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