Spencer delta-cohomology, restrictions, characteristics and involutive symbolic PDEs

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dc.creatorKruglikov, Boris
dc.creatorLychagin, Valentin
dc.date2005-03-07
dc.date.accessioned2026-07-07T05:17:45Z
dc.date.available2026-07-07T05:17:45Z
dc.descriptionWe generalize the notion of involutivity to systems of differential equations of different orders and show that the classical results due to Guillemin and Quillen relating involutivity, restrictions, characteristics and characteristicity, known for first order systems, extend to the general context, though in a modified form. This involves, in particular, a new definition of strong characteristicity. The proof exploits a spectral sequence relating Spencer delta-cohomology of a symbolic system and its restriction to a non-characteristic subspace.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0503124
dc.identifierhttp://arxiv.org/abs/math/0503124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74419
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject35N10, 58A20, 58H10; 35A30
dc.titleSpencer delta-cohomology, restrictions, characteristics and involutive symbolic PDEs
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