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    On the fusion problem for degenerate elliptic equations II


    Buckley, Stephen M. and Koskela, Pekka (1999) On the fusion problem for degenerate elliptic equations II. Commentationes Mathematicae Universitatis Carolinae, 40 (1). pp. 1-6. ISSN 1213-7243

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    Official URL: http://www.karlin.mff.cuni.cz/cmuc/cmucemis/cmucem...


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    Abstract

    Let F be a relatively closed subset of a Euclidean domain Ω. We investigate when solutions u to certain elliptic equations on Ω/F are restrictions of solutions on all of Ω. Specifically, we show that if ∂F is not too large, and u has a suitable decay rate near F, then u can be so extended.

    Item Type: Article
    Keywords: A-harmonic function, Hausdorff measure, Fusion problem.
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1621
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 02 Nov 2009 10:07
    Journal or Publication Title: Commentationes Mathematicae Universitatis Carolinae
    Publisher: Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
    Refereed: Yes
    URI:

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