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

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.

arXiv comment8 pages, no figures

References in corpus (2)

• Time decay for solutions of Schrödinger equations with rough and time dependent potentials
• Smoothing - Strichartz Estimates for the Schrodinger Equation with small Magnetic Potential