Existence of Weak Solutions to a Class of Degenerate Semiconductor Equations Modeling Avalanche Generation

摘要

We consider the drift-diffusion model with avalanche generation for evolutionin time of electron and hole densities n, p coupled with the electrostatic potential ψ in a semiconductor device. We also assume that the diffusion term is degenerate. The existence of local weak solutions to this Dirichlet-Neumann mixed boundary value problem is obtained.