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Velocity method and Courant metric topologies in shape analysis of partial differential equations - MaRDI portal

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Velocity method and Courant metric topologies in shape analysis of partial differential equations (Q2717278)

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scientific article; zbMATH DE number 1604833
Language Label Description Also known as
English
Velocity method and Courant metric topologies in shape analysis of partial differential equations
scientific article; zbMATH DE number 1604833

    Statements

    author
    Michel C. Delfour
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    J. P. Zolesio
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    publication date
    23 July 2003
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    zbMATH Keywords
    velocity method
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    shape analysis of partial differential equations
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    Courant metric
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    semiderivatives
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    title
    Velocity method and Courant metric topologies in shape analysis of partial differential equations (English)
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    review text
    The paper is aimed to give the equivalence between the continuity of a shape function with respect to the generic complete Courant metric topology introduced by \textit{A. M. Micheletti} [Ann. Scuola Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 26, 683-694 (1972; Zbl 0255.35028)] and its continuity along the flow of non-autonomous velocity fields. This result clarifies the connection between spaces of domains endowed with a Courant metric and the velocity method used in the definition of semiderivatives of shape functions.NEWLINENEWLINEFor the entire collection see [Zbl 0959.00047].
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    Identifiers

    Mathematics Subject Classification ID
    49Q10
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    35B37
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    35R35
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    zbMATH DE Number
    1604833
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