no. 12
Partial Differential Equations
On Pfaff systems with Lp coefficients in dimension two
Presented by: Philippe G. Ciarlet
Mardare, Sorin1
1Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, 4, place Jussieu, 75005 Paris, France
Comptes Rendus. Mathématique, Volume 340 (2005) no. 12, pp. 879-884

We prove that the Cauchy problem associated with a Pfaff system with coefficients in Llocp, p>2, in a connected and simply-connected open subset Ω of R2 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 Llocp, p>2, dans un ouvert connexe et simplement connexe Ω de R2 admet une solution unique pourvu que ses coefficients satisfassent une condition de compatibilité au sens des distributions.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2005.05.013

Mardare, Sorin  1

1 Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, 4, place Jussieu, 75005 Paris, France 
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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

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