The duality between the gradient and divergence operators on bounded Lipschitz domains

Mikael Kurula, Heiko J. Zwart

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    This report gives an exact result on the duality of the divergence and gradient operators, when these are considered as operators between $L^2$-spaces on a bounded $n$-dimensional Lipschitz domain. The necessary background is described in detail, with a self-contained exposition.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages15
    Publication statusPublished - Oct 2012

    Publication series

    PublisherDepartment of Applied Mathematics, University of Twente
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850


    • EWI-22373
    • MSC-47A05
    • IR-84362
    • METIS-296112
    • MSC-46E35

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