ON THE UNIQUENESS OF SOLUTIONS TO THE DRIFT-DIFFUSION MODEL OF SEMICONDUCTOR-DEVICES

被引:36
作者
GAJEWSKI, H
机构
关键词
D O I
10.1142/S021820259400008X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove a uniqueness result for the drift-diffusion model of semiconductor devices under weak regularity assumptions. Our proof rests on the convexity of the free energy functional and uses a new concavity argument.
引用
收藏
页码:121 / 133
页数:13
相关论文
共 16 条
[1]   ON THE BASIC EQUATIONS FOR CARRIER TRANSPORT IN SEMICONDUCTORS [J].
GAJEWSKI, H ;
GROGER, K .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 113 (01) :12-35
[2]   SEMICONDUCTOR EQUATIONS FOR VARIABLE MOBILITIES BASED ON BOLTZMANN STATISTICS OR FERMI-DIRAC STATISTICS [J].
GAJEWSKI, H ;
GROGER, K .
MATHEMATISCHE NACHRICHTEN, 1989, 140 :7-36
[3]  
GAJEWSKI H, IN PRESS NONLINEAR A
[4]  
Gajewski H., 1974, NICHTLINEARE OPERATO
[5]  
Gilbarg D., 1983, ELLIPTIC PARTIAL DIF
[7]  
GROGER K, 1993, MATH Z, V213, P523
[8]  
GROGER K, UNPUB REINE ANGE MAT
[9]  
LADYZHENSKAYA OA, 1970, MATH PROBLEMS DYNAMI
[10]  
MARKOWICH PA, 1986, SPRINGER SERIES COMP