ON THE EXISTENCE OF WEAK SOLUTIONS TO A SYSTEM OF STATIONARY SEMICONDUCTOR EQUATIONS WITH AVALANCHE GENERATION

This paper is concerned with the stationary drift-diffusion equations of semiconductor theory involving recombination-generation of carriers due to particle transition, and pure generation by impact ionization (avalanche generation). We establish the existence of a weak solution to the mixed boundary value problem for the system of PDEs under consi deration. In the proof we combine an approximation argument with some estimates based on a positivity property of the recombination-generati on term.