Uniqueness of weak solutions to the cauchy problem for the 3-D time-dependent ginzburg-landau model for superconductivity

Jishan Fan, Tohru Ozawa

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    We prove some uniqueness results for the Cauchy problem for the 3-D time-dependent Ginzburg-Landau (TDGL) model for superconductivity with the choice of the Lorentz gauge in the multiplier spaces (Morrey spaces) and in the inhomogeneous Besov spaces, respectively.

    Original languageEnglish
    Pages (from-to)27-34
    Number of pages8
    JournalDifferential and Integral Equations
    Volume22
    Issue number1-2
    Publication statusPublished - 2009 Jan

    Fingerprint

    Ginzburg-Landau Model
    Morrey Space
    Superconductivity
    Besov Spaces
    Gages
    3D
    Multiplier
    Weak Solution
    Cauchy Problem
    Gauge
    Uniqueness

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

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    title = "Uniqueness of weak solutions to the cauchy problem for the 3-D time-dependent ginzburg-landau model for superconductivity",
    abstract = "We prove some uniqueness results for the Cauchy problem for the 3-D time-dependent Ginzburg-Landau (TDGL) model for superconductivity with the choice of the Lorentz gauge in the multiplier spaces (Morrey spaces) and in the inhomogeneous Besov spaces, respectively.",
    author = "Jishan Fan and Tohru Ozawa",
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    pages = "27--34",
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    issn = "0893-4983",
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    number = "1-2",

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    AU - Ozawa, Tohru

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    N2 - We prove some uniqueness results for the Cauchy problem for the 3-D time-dependent Ginzburg-Landau (TDGL) model for superconductivity with the choice of the Lorentz gauge in the multiplier spaces (Morrey spaces) and in the inhomogeneous Besov spaces, respectively.

    AB - We prove some uniqueness results for the Cauchy problem for the 3-D time-dependent Ginzburg-Landau (TDGL) model for superconductivity with the choice of the Lorentz gauge in the multiplier spaces (Morrey spaces) and in the inhomogeneous Besov spaces, respectively.

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    JO - Differential and Integral Equations

    JF - Differential and Integral Equations

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