In this paper, we are concerned with the compressible Euler-Maxwell equations with a nonconstant background density (e.g., of ions) in three-dimensional space. There exist stationary solutions when the background density is a small perturbation of a positive constant state. We show the asymptotic stability of solutions to the Cauchy problem near the stationary state provided that the initial perturbation is sufficiently small. Moreover, the convergence rates are obtained by combining the Lp-Lq estimat...
