Weak solutions to the stationary quantum drift-diffusion model

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:359

Article

Qiang, Chen^1,2  Ping, Guan¹ 

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Yancheng Inst Technol, Yancheng 224003, Peoples R China

关键词: Quantum drift-diffusion model;    Stationary solutions;    A priori estimates;    Fixed-point theorem;    Semiclassical limit;   

DOI  :  10.1016/j.jmaa.2009.06.030

来源: Elsevier

【 摘 要 】

The existence of weak solutions to the stationary quantum drift-diffusion equations for semiconductor devices is investigated. The proof is based on minimization procedure of non-linear functional and Schauder fixed-point theorem. Furthermore, the semiclassical limit epsilon -> 0 from the quantum drift-diffusion model to the classical drift-diffusion model is discussed. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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