We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Existence of classical solutions to a stationary simplified quantum energy-transport model in 1-dimensional space.
- Authors
Dong, Jianwei; Zhang, Youlin; Cheng, Shaohua
- Abstract
The existence of classical solutions to a stationary simplified quantum energy-transport model for semiconductor devices in 1-dimensional space is proved. The model consists of a nonlinear elliptic third-order equation for the electron density, including a temperature derivative, an elliptic nonlinear heat equation for the electron temperature, and the Poisson equation for the electric potential. The proof is based on an exponential variable transformation and the Leray-Schauder fixed-point theorem.
- Subjects
EXISTENCE theorems; CLASSICAL solutions (Mathematics); STATIONARY processes; QUANTUM theory; DIMENSIONAL analysis; MATHEMATICAL variables; SEMICONDUCTOR devices
- Publication
Chinese Annals of Mathematics, 2013, Vol 34, Issue 5, p691
- ISSN
0252-9599
- Publication type
Article
- DOI
10.1007/s11401-013-0794-8