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

dc.contributor.author	Kruglikov, Boris
dc.contributor.author	Lychagin, Valentin V.
dc.date.accessioned	2009-08-27T11:30:55Z
dc.date.available	2009-08-27T11:30:55Z
dc.date.issued	2005-03-07
dc.description.abstract	We generalize the notion of involutivity to systems of differential equations of different orders and show that the classical results relating involutivity, restrictions, characteristics and characteristicity, known for first order systems, extend to the general context. This involves, in particular, a new definition of strong characteristicity. The proof exploits a spectral sequence relating Spencer δ-cohomology of a symbolic system and its restriction to a non-characteristic subspace.	en
dc.format.extent	281236 bytes
dc.format.mimetype	application/pdf
dc.identifier.uri	https://hdl.handle.net/10037/2052
dc.identifier.urn	URN:NBN:no-uit_munin_1804
dc.language.iso	eng	en
dc.rights.accessRights	openAccess
dc.subject	VDP::Mathematics and natural science: 400::Mathematics: 410::Statistics: 412	en
dc.subject	Spencer cohomology	en
dc.subject	symbolic system	en
dc.subject	restriction	en
dc.subject	involutivity	en
dc.subject	characteristics	en
dc.title	Spencer δ-cohomology, restrictions, characteristics and involutive symbolic PDEs	en
dc.type	Working paper	en
dc.type	Arbeidsnotat	en