A Dispersive Estimate for the Linear Wave Equation with an Electromagnetic Potential
نویسنده
چکیده
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.
منابع مشابه
Dispersive Estimates for a Linear Wave Equation with Electromagnetic Potential
We consider radial solutions to the Cauchy problem for a linear wave equation with a small short-range electromagnetic potential (depending on space and time) and zero initial data. We present two dispersive estimates that provide, in particular, an optimal decay rate in time t−1 for the solution. Also, we apply these estimates to obtain similar results for the linear massless Dirac equation pe...
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