On the exceptional sets of the flux of a bounded vectorfield

De Pauw, Thierry
(2003) Journal de mathématiques pures et appliquées — Vol. 82, n° 9, p. 1191-1217 (2003)

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  • De Pauw, ThierryUCLouvain
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Abstract
For each purely n - 1 unrectifiable compact set C subset of Rn such that 0 < Hn-1 (C) < infinity, there is a bounded Borel measurable vectorfield v: R-n --> R-n whose flux vanishes in R-n similar to C but not in R-n. (C) 2003 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
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De Pauw, T. (2003). On the exceptional sets of the flux of a bounded vectorfield. Journal de mathématiques pures et appliquées, 82(9), 1191-1217. https://doi.org/10.1016/S0021-7824(03)00060-6 (Original work published 2003)