On large time asymptotics for drift-diffusion-poisson systems

DOI10.1080/00411450008205893zbMath1017.82041OpenAlexW2009385069MaRDI QIDQ2720985

Anton Arnold, Peter Alexander Markowich, Giuseppe Toscani

Publication date: 28 June 2001

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450008205893

zbMATH Keywords

relative entropyconvergence ratelogarithmic Sobolev inequalitiescharged particlesexponential convergenceplasmassemiconductor devices

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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• A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
• Logarithmic Sobolev inequalities and stochastic Ising models
• Continuity of Solutions of Parabolic and Elliptic Equations
• On Existence, Uniqueness and Asymptotic Behavior of Solutions of the Basic Equations for Carrier Transport in Semiconductors

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