We prove uniqueness of solutions of the DLSS equation in a class of sufficiently regular
functions. The global weak solutions of the DLSS equation constructed by Jüngel and …

We give an overview of analytic investigations of quantum semiconductor models, where we
focus our attention on two classes of models: quantum drift diffusion models, and quantum …

We establish the global weak solutions to quantum drift-diffusion model, a fourth order
parabolic system, in two or there space dimensions with large initial value and periodic …

We show that weak solutions of the Derrida–Lebowitz–Speer–Spohn (DLSS) equation
display infinite speed of support propagation. We apply our method to the case of the …

The existence of classical solutions to the one-dimensional stationary quantum drift–
diffusion model for semiconductor devices is investigated. The proof is based on an …

In this paper, we investigate a one-dimensional bipolar quantum drift-diffusion model from
semiconductor devices. We mainly show the long-time behavior of solutions to the one …

一维半导体量子能量输运模型稳态解的唯一性 数学杂志 2015, Vol. 35 Issue (5): 1245-1251
PDF 扩展功能 加入收藏夹 复制引文信息 加入引用管理器 Email Alert RSS 本文作者相关文章 …

Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit
interactions of Rashba type are formally derived from a collisional Wigner equation. The …

In this study, we consider the three-dimensional quantum bipolar drift-diffusion model arising
from the semiconductor device simulation, which consists of the coupled nonlinear fourth …

In this study, we consider the one-dimensional bipolar quantum drift-diffusion model, which
consists of the coupled nonlinear fourth-order parabolic equation and the electric field …