Decay estimates of solutions to the compressible Euler–Maxwell system in R3R3

We study the large time behavior of solutions near a constant equilibrium to the compressible Euler–Maxwell system in R3R3. We first refine a global existence theorem by assuming that the H3H3 norm of the initial data is small, but the higher order derivatives can be arbitrarily large. If the initial data belongs to H˙−s (0≤s<3/20≤s<3/2) or B˙2,∞−s (0