ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS

Source abstract

We analyze the degenerate transient multi-dimensional quasi-hydrodynamic model for semiconductors with general recombination rate. We present existence results for general nonlinear diffusivities for the nondegenerate and the degenerate Dirichlet-Neumann mixed boundary value problem. Uniqueness of solutions of the nondegenerate system can be proved in the Dirichlet boundary case. Concerning the degenerate problem uniqueness can only be shown under some conditions on the initial and boundary data or on the electric field.