Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex and the Helmholtz-Sonin conditions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15810%2F09%3A00008025" target="_blank" >RIV/61989592:15810/09:00008025 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex and the Helmholtz-Sonin conditions

Original language description

We give formulae for two distinct local homotopy operators for the horizontal differential in the variational bicomplex. We deduce two different representations of the classes of forms in the Euler-Lagrange complex, and hence two different versions of the Helmholtz-Sonin equations for the local variationality of a source form. We give explicit relationships between these two versions of the equations.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F06%2F0922" target="_blank" >GA201/06/0922: Global analysis and its applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Lobachevskii Journal of Mathematics

ISSN

1818-9962

e-ISSN

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Volume of the periodical

30

Issue of the periodical within the volume

2

Country of publishing house

RU - RUSSIAN FEDERATION

Number of pages

17

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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