Compatibility, multi-brackets and integrability of systems of PDEs

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dc.creatorKruglikov, Boris
dc.creatorLychagin, Valentin
dc.date2006-10-30
dc.date2008-02-20
dc.date.accessioned2026-07-07T09:21:48Z
dc.date.available2026-07-07T09:21:48Z
dc.descriptionWe establish an efficient compatibility criterion for a system of generalized complete intersection type in terms of certain multi-brackets of differential operators. These multi-brackets generalize the higher Jacobi-Mayer brackets, important in the study of evolutionary equations and the integrability problem. We also calculate Spencer delta-cohomology of generalized complete intersections and evaluate the formal functional dimension of the solutions space. The results are applied to establish new integration methods and solve several differential-geometric problems.
dc.descriptionSome modifications in sections 6.1-2; new references're added
dc.identifierhttps://arxiv.org/abs/math/0610930
dc.identifierhttp://arxiv.org/abs/math/0610930
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155157
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject35N10, 58A20, 58H10 (Primary); 35A30 (Secondary)
dc.titleCompatibility, multi-brackets and integrability of systems of PDEs
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