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Existence and Construction of Vessiot Connections

Existence and Construction of Vessiot Connections

A rigorous formulation of Vessiot's vector field approach to the analysis of general systems of partial differential equations is provided. It is shown that this approach is equivalent to the formal theory of differential equations and that it can be carried through if, and only if, the given s...

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Main Authors: Fesser, D., Seiler, W.M.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149123
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spelling irk-123456789-1491232019-02-20T01:26:26Z Existence and Construction of Vessiot Connections Fesser, D. Seiler, W.M. A rigorous formulation of Vessiot's vector field approach to the analysis of general systems of partial differential equations is provided. It is shown that this approach is equivalent to the formal theory of differential equations and that it can be carried through if, and only if, the given system is involutive. As a by-product, we provide a novel characterisation of transversal integral elements via the contact map. 2009 Article Existence and Construction of Vessiot Connections / D. Fesser, W.M. Seiler // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 28 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35A07; 35A30; 35N99; 58A20 http://dspace.nbuv.gov.ua/handle/123456789/149123 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description A rigorous formulation of Vessiot's vector field approach to the analysis of general systems of partial differential equations is provided. It is shown that this approach is equivalent to the formal theory of differential equations and that it can be carried through if, and only if, the given system is involutive. As a by-product, we provide a novel characterisation of transversal integral elements via the contact map.
format Article
author Fesser, D.
Seiler, W.M.
spellingShingle Fesser, D.
Seiler, W.M.
Existence and Construction of Vessiot Connections
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Fesser, D.
Seiler, W.M.
author_sort Fesser, D.
title Existence and Construction of Vessiot Connections
title_short Existence and Construction of Vessiot Connections
title_full Existence and Construction of Vessiot Connections
title_fullStr Existence and Construction of Vessiot Connections
title_full_unstemmed Existence and Construction of Vessiot Connections
title_sort existence and construction of vessiot connections
publisher Інститут математики НАН України
publishDate 2009
url http://dspace.nbuv.gov.ua/handle/123456789/149123
citation_txt Existence and Construction of Vessiot Connections / D. Fesser, W.M. Seiler // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 28 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT fesserd existenceandconstructionofvessiotconnections
AT seilerwm existenceandconstructionofvessiotconnections
first_indexed 2023-05-20T17:32:10Z
last_indexed 2023-05-20T17:32:10Z
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