We prove that the Cauchy problem associated with a Pfaff system with coefficients in , , in a connected and simply-connected open subset Ω of has a unique solution provided that its coefficients satisfies a compatibility condition in the distributional sense.
On montre que le problème de Cauchy associé à un système de Pfaff avec des coefficients dans , , dans un ouvert connexe et simplement connexe Ω de admet une solution unique pourvu que ses coefficients satisfassent une condition de compatibilité au sens des distributions.
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@article{CRMATH_2005__340_12_879_0, author = {Mardare, Sorin}, title = {On {Pfaff} systems with $ {L}^{p}$ coefficients in dimension two}, journal = {Comptes Rendus. Math\'ematique}, pages = {879--884}, publisher = {Elsevier}, volume = {340}, number = {12}, year = {2005}, doi = {10.1016/j.crma.2005.05.013}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2005.05.013/} }
TY - JOUR AU - Mardare, Sorin TI - On Pfaff systems with $ {L}^{p}$ coefficients in dimension two JO - Comptes Rendus. Mathématique PY - 2005 SP - 879 EP - 884 VL - 340 IS - 12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2005.05.013/ DO - 10.1016/j.crma.2005.05.013 LA - en ID - CRMATH_2005__340_12_879_0 ER -
%0 Journal Article %A Mardare, Sorin %T On Pfaff systems with $ {L}^{p}$ coefficients in dimension two %J Comptes Rendus. Mathématique %D 2005 %P 879-884 %V 340 %N 12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2005.05.013/ %R 10.1016/j.crma.2005.05.013 %G en %F CRMATH_2005__340_12_879_0
Mardare, Sorin. On Pfaff systems with $ {L}^{p}$ coefficients in dimension two. Comptes Rendus. Mathématique, Volume 340 (2005) no. 12, pp. 879-884. doi : 10.1016/j.crma.2005.05.013. http://archive.numdam.org/articles/10.1016/j.crma.2005.05.013/
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