TY - JOUR
T1 - Rectifiabilité de la mesure Jacobienne pour une classe de fonctions
AU - Jerrard, Robert Leon
AU - Soner, Halil Mete
N1 - Funding Information:
0, due to (6) and (7). Since this holds for all $ as above, we 0 AcknowledgemenhWe are grateful to M. Giaquinta and G. Modica for their extremely helpful comments. Jerrard was partially supported by NSF grant DMS 96-00080. Soner was partially supported by NSF grant 98-17525 and AR0 grant DAAH04-95-l-0226. Parts of this paper were completed during visits of Jerrard to the Center for Nonlinear Analysis at Carnegie Mellon University, and other parts while Soner was visiting the Feza Gursey Institute for Basic Sciences in Istanbul.
PY - 1999/10/15
Y1 - 1999/10/15
N2 - We define the class B2V of functions of bounded 2-dimensional variation, and we sketch the proof of a theorem showing that, for u ∈ B2V(ℝ3; S1), the distributional Jacobian of u is supported on a 1-dimensional rectifiable set.
AB - We define the class B2V of functions of bounded 2-dimensional variation, and we sketch the proof of a theorem showing that, for u ∈ B2V(ℝ3; S1), the distributional Jacobian of u is supported on a 1-dimensional rectifiable set.
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U2 - 10.1016/S0764-4442(00)88217-8
DO - 10.1016/S0764-4442(00)88217-8
M3 - Article
AN - SCOPUS:0033569289
SN - 1631-073X
VL - 329
SP - 683
EP - 688
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 8
ER -