2022/02/27 by de Piro, Tristram
#Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2202.13394
We prove that if the frame S is decaying surface non-radiating, in the sense of Definition 1.1, then if the charge and current are analytic, either they both vanish, or S is non-radiating, in the sense of a previous paper. In particularly, by the result there, the charge and current satisfy certain wave equations in all frames S', connected to S by a real velocity vector, whose magnitude is less than the speed of light.