Global existence for the system of the macroscopic balance equations of charge transport in semiconductors

Global existence of a solution to the nonlinear balance equations of charge transport in semiconductors based on the maximum entropy principle [Contin. Mech. Thermodyn. 11 (1999) 307-325; Contin. Mech. Thermodyn. 12 (2000) 31-51] is proven for a typical 1D problem under certain restrictions on the doping profile and the initial data.