Stationary solutions to the drift–diffusion model in the whole spaces
✍ Scribed by Ryo Kobayashi; Masaki Kurokiba; Shuichi Kawashima
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 127 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1058
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✦ Synopsis
Abstract
We study the stationary problem in the whole space ℝ^n^ for the drift–diffusion model arising in semiconductor device simulation and plasma physics. We prove the existence and uniqueness of stationary solutions in the weighted L^p^ spaces. The proof is based on a fixed point theorem of the Leray–Schauder type. Copyright © 2008 John Wiley & Sons, Ltd.
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