一类带有快扩散项的半导体方程的弱解存在性

Existence of Weak Solutions to a Class of Semiconductor Equations with Fast Diffusion Term

中文关键词:  漂移-扩散模型  快扩散.

英文关键词:semiconductor equations  fast diffusion term.

中文摘要:

      本文研究了一类快扩散漂移-扩散半导体模型.这类问题不但是退化的,而且是奇性的.通过能量估计的方法,本文获得了该问题弱解的存在性结果.

英文摘要:

      In this paper, we consider the transient drift-diffusion model with fast diffusion term. This problem is not only degenerate but also singular. We present the existence result for the Neumann boundary value problem with general nonlinear diffusivities.