Stationary solutions to the drift-diffusion model in the whole spaces

Ryo Kobayashi; Masaki Kurokiba; Shuichi Kawashima

doi:10.1002/mma.1058

Stationary solutions to the drift-diffusion model in the whole spaces

Ryo Kobayashi, Masaki Kurokiba, Shuichi Kawashima

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study the stationary problem in the whole space Rⁿ 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.

Original language	English
Pages (from-to)	640-652
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	32
Issue number	6
DOIs	https://doi.org/10.1002/mma.1058
Publication status	Published - Apr 1 2009

All Science Journal Classification (ASJC) codes

Mathematics(all)
Engineering(all)

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10.1002/mma.1058

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abstract = "We study the stationary problem in the whole space Rn 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 Lp spaces. The proof is based on a fixed point theorem of the Leray-Schauder type.",

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AB - We study the stationary problem in the whole space Rn 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 Lp spaces. The proof is based on a fixed point theorem of the Leray-Schauder type.

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Stationary solutions to the drift-diffusion model in the whole spaces

Abstract

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