dc.contributor.author | Kruglikov, Boris | |
dc.contributor.author | Lychagin, Valentin V. | |
dc.date.accessioned | 2009-08-27T09:03:00Z | |
dc.date.available | 2009-08-27T09:03:00Z | |
dc.date.issued | 2008-02-20 | |
dc.description.abstract | We 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 δ-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. | en |
dc.description | Dette er forfatternes aksepterte versjon | en |
dc.format.extent | 644133 bytes | |
dc.format.mimetype | application/pdf | |
dc.identifier.citation | Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications DOI 10.1007/s10440-009-9446-0 | en |
dc.identifier.uri | https://hdl.handle.net/10037/2048 | |
dc.identifier.urn | URN:NBN:no-uit_munin_1800 | |
dc.language.iso | eng | en |
dc.publisher | Springer Netherlands | en |
dc.rights.accessRights | openAccess | |
dc.subject | VDP::Mathematics and natural science: 400::Mathematics: 410::Statistics: 412 | en |
dc.subject | multi-brackets | en |
dc.subject | Jacobi-Mayer bracket | en |
dc.subject | Spencer cohomology | en |
dc.subject | Koszul homology | en |
dc.subject | Buchsbaum-Rim complex | en |
dc.subject | integral | en |
dc.subject | characteristics | en |
dc.subject | system of PDEs | en |
dc.subject | symbols | en |
dc.subject | compatibility | en |
dc.title | Compatibility, multi-brackets and
integrability of systems of PDEs | en |
dc.type | Journal article | en |
dc.type | Tidsskriftartikkel | en |
dc.type | Peer reviewed | en |