no. 9
Partial Differential Equations
On the resolution of Pfaff systems in dimension three
[Sur la résolution des systèmes de Pfaff en dimension trois]
Présenté par : Philippe G. Ciarlet
Mardare, Sorin1
1 Institüt für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland
Comptes Rendus. Mathématique, Tome 344 (2007) no. 9, pp. 565-570

We establish that the Cauchy problem associated with a Pfaff system in dimension three has a unique solution under minimal regularity assumptions on its coefficients.

On établit que le problème de Cauchy associé à un système de Pfaff en dimension trois a une solution unique sous des hypothèses minimales de régularité sur ses coefficients.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.03.029

Mardare, Sorin 1

1 Institüt für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland 
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Mardare, Sorin. On the resolution of Pfaff systems in dimension three. Comptes Rendus. Mathématique, Tome 344 (2007) no. 9, pp. 565-570. doi: 10.1016/j.crma.2007.03.029

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[3] Mardare, S. On Pfaff systems with Lp coefficients and their applications in differential geometry, J. Math. Pures Appl., Volume 84 (2005), pp. 1659-1692

[4] Mardare, S. On systems of first order linear partial differential equations with Lp coefficients, Adv. Differential Equations, Volume 12 (2007), pp. 301-360

[5] Thomas, T.Y. Systems of total differential equations defined over simply connected domains, Ann. Math., Volume 35 (1934), pp. 730-734

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