The well-posedness of the compressible non-isentropic Euler-Maxwell system in R^3

We first construct the global unique solution by assuming that the initial data is small in the $H^3$ norm but the higher order derivatives could be large. If further the initial data belongs to $\text{Dot}{H}^{-s}$ ($0\le s<3\mathrm{/}2$) or ${\dot{B}}_{2,\mathrm{\infty }}^{-s}$ ($0<s\le 3\mathrm{/}2$), we obtain the various decay rates of the solution and its higher order derivatives. In particular, the decay rates of the density and temperature of electron could reach to $(1+t{)}^{-13\mathrm{/}4}$ in $L^2$ norm.