具雪崩项的半导体方程组的整体弱解

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

考虑带有雪崩项的半导体方程组的混合边值问题，采用拟单调方法和逼近过程，通过一系列先验估计，证明了该问题整体弱解的存在性。

This paper is concerned with the drift-diffusion equations of semiconductor theory involvingrecombination-generation of carriers due to particle transition，and pure generation by impact ioniza-tion（avalanche generation）．We establish the existence of a weak solution to the mixed boundaryvalue problem for the system of PED’S under consideration，The method of proof combines an ap-proximation argument with some estimates based on a positivity property of the recombination-gen-eration term.