Decay estimates and large time behavior of solutions to the Drift-Diffusion system

Ryo Kobayashi, Shuichi Kawashima

    Research output: Contribution to journalArticlepeer-review

    22 Citations (Scopus)

    Abstract

    We study the drift-diffusion system arising in the semiconductor device simulation and the plasma physics. We consider the initial value problem for this system and derive the optimal Lp decay estimate of solutions by applying the time weighted Lp energy method. Furthermore, we show that the solutions approach the corresponding heat kernels as time tends to infinity. This asymptotic result is based on the optimal Lp -Lq decay estimate for the linearized problem.

    Original languageEnglish
    Pages (from-to)371-394
    Number of pages24
    JournalFunkcialaj Ekvacioj
    Volume51
    Issue number3
    DOIs
    Publication statusPublished - 2008

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Algebra and Number Theory
    • Geometry and Topology

    Fingerprint

    Dive into the research topics of 'Decay estimates and large time behavior of solutions to the Drift-Diffusion system'. Together they form a unique fingerprint.

    Cite this