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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Sorin Mardare 1
@article{CRMATH_2005__340_12_879_0, author = {Sorin Mardare}, 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}, }
Sorin Mardare. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.05.013/
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