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

Mathematics – Analysis of PDEs

Scientific paper

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8 pages, no figures

Scientific paper

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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