一类半导体方程组弱解的存在性

数学物理学报 ›› 1998, Vol. 18 ›› Issue (3): 289-296.

一类半导体方程组弱解的存在性

邢家省¹, 王元明²

1. 北京应用物理与计算数学研究所计算物理实验室北京 100088;
2. 东南大学应用数学系南京 210096

收稿日期:1996-10-21 修回日期:1997-03-17 出版日期:1998-09-26 发布日期:1998-09-26
基金资助:
国家自然科学基金资助

The Existence of Weak Solution for a Class of the Semiconductor Equation

Xing Jiasheng¹, Wang Yuanming²

1. Institute of Applied Physics and Computational Mathematics, Beijing 100088;
2. Department of Applied Mathematics, Southeast University Nanjing 210096

Received:1996-10-21 Revised:1997-03-17 Online:1998-09-26 Published:1998-09-26

摘要/Abstract

摘要： 考虑一类半导体方程组的混合初边值问题.在边值函数非负的条件下。证明了整体弱解的存在性.

关键词: 半导体方程组, 混合边值, 整体弱解

Abstract: In this paper, we consider the mixed boundary value problem for the semiconductor equations. Under the conditions of the non-negative boundary value,the existence result of the weak solutions to the problem is obtained.

Key words: Semiconductor equations, Mixed boundary value problem, Global weak solution

邢家省, 王元明. 一类半导体方程组弱解的存在性[J]. 数学物理学报, 1998, 18(3): 289-296.

Xing Jiasheng, Wang Yuanming. The Existence of Weak Solution for a Class of the Semiconductor Equation[J]. Acta mathematica scientia,Series A, 1998, 18(3): 289-296.

[1]	刘健, 连汝续, 钱茂福. 双极Navier-Stokes-Poisson方程整体解的存在性[J]. 数学物理学报, 2014, 34(4): 960-976.
[2]	张宏伟, 呼青英. 一类非线性发展方程整体弱解的存在性和稳定性[J]. 数学物理学报, 2004, 24(3): 329-336.
[3]	郭柏灵, 邢家省. 具非均匀介电常数的半导体方程组的初边值问题[J]. 数学物理学报, 2001, 21(1): 62-69.
[4]	邢家省王元明. 带雪崩项的半导体方程的瞬态解[J]. 数学物理学报, 1999, 19(4): 405-414.
[5]	周春琴. 高维铁磁涟系统与p-调和映射[J]. 数学物理学报, 1998, 18(1): 33-40.