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Distributions for which div upsilon = F has a continuous solution

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De Pauw, Thierry [UCL] Pfeffer, Washek F.

The equation div upsilon = F has a continuous weak solution in an open set U subset of R-m if and only if the distribution F satisfies the following condition: the F(phi(i)) converge to 0 for every sequence {phi(i)} of test functions such that the support of each (i) is contained in a fixed compact subset of U, and in the L-1 norm, {phi(i)} converges to 0 and {del phi(i)} is bounded. (c) 2007 Wiley Periodicals, Inc.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2008
Language Anglais
Journal information "Communications on Pure and Applied Mathematics" - Vol. 61, no. 2, p. 230-260 (2008)
Peer reviewed yes
Publisher John Wiley & Sons Inc (Hoboken)
issn 0010-3640
e-issn 1097-0312
Publication status Publié
Affiliation UCL
Links
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Bibliographic reference De Pauw, Thierry ; Pfeffer, Washek F.. Distributions for which div upsilon = F has a continuous solution. In: Communications on Pure and Applied Mathematics, Vol. 61, no. 2, p. 230-260 (2008)
Permanent URL http://hdl.handle.net/2078.1/36934