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

Ryo Kobayashi, Masaki Kurokiba, Shuichi Kawashima

    Research output: Contribution to journalArticlepeer-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 Lp spaces. The proof is based on a fixed point theorem of the Leray-Schauder type.

    Original languageEnglish
    Pages (from-to)640-652
    Number of pages13
    JournalMathematical Methods in the Applied Sciences
    Volume32
    Issue number6
    DOIs
    Publication statusPublished - Apr 1 2009

    All Science Journal Classification (ASJC) codes

    • General Mathematics
    • General Engineering

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