Multi-brackets of differential operators and compatibility of PDE systems

Boris Kruglikov; Valentin Lychagin

doi:10.1016/j.crma.2006.02.013

Partial Differential Equations

Multi-brackets of differential operators and compatibility of PDE systems

Presented by: Bernard Malgrange

Boris Kruglikov ¹; Valentin Lychagin ¹

¹ Institute of Mathematics and Statistics, University of Tromsø, Tromsø 9037, Norway

Comptes Rendus. Mathématique, Volume 342 (2006) no. 8, pp. 557-561

Abstract (Original language)
Résumé

We establish an efficient compatibility criterion for an overdetermined system of generalized complete intersection type in terms of multi-brackets.

Nous établissons un critère de compatibilité efficace pour un système détérminé de type intersection complète généralisée en termes de multi-crochets.

Received: 2005-09-06
Accepted: 2006-02-07
Published online: 2006-03-09

DOI: 10.1016/j.crma.2006.02.013

Author's affiliations:

Boris Kruglikov ¹; Valentin Lychagin ¹

¹ Institute of Mathematics and Statistics, University of Tromsø, Tromsø 9037, Norway

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Boris Kruglikov; Valentin Lychagin. Multi-brackets of differential operators and compatibility of PDE systems. Comptes Rendus. Mathématique, Volume 342 (2006) no. 8, pp. 557-561. doi: 10.1016/j.crma.2006.02.013

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