About: Variational first-order partial differential equations

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Geometrical and variational properties of systems of first-order partial differential equations (PDE) on fibered manifolds are studied. Existence of Lagrangians is shown to be equivalent with the existence of a closed form which is global and unique an explicit construction of this form is given. A bijective map between a set of dynamical forms on $J^Y$, representing first-order PDE, and forms on the total space $Y$ is found, providing a geometric description of the equations by means of a (not necessarily closed) ideal generated by a system of $n$-forms on $Y$ ($n$ = dimension of the base manifold). Conditions for this ideal to be closed are studied. Relations with Hamiltonian structures and with multisymplectic forms are discussed. Geometrical and variational properties of systems of first-order partial differential equations (PDE) on fibered manifolds are studied. Existence of Lagrangians is shown to be equivalent with the existence of a closed form which is global and unique an explicit construction of this form is given. A bijective map between a set of dynamical forms on $J^Y$, representing first-order PDE, and forms on the total space $Y$ is found, providing a geometric description of the equations by means of a (not necessarily closed) ideal generated by a system of $n$-forms on $Y$ ($n$ = dimension of the base manifold). Conditions for this ideal to be closed are studied. Relations with Hamiltonian structures and with multisymplectic forms are discussed. (en)
Title	Variational first-order partial differential equations Variational first-order partial differential equations (en)
skos:prefLabel	Variational first-order partial differential equations Variational first-order partial differential equations (en)
skos:notation	RIV/47813059:19610/03:00000119!RIV/2004/GA0/196104/N
http://linked.open.../vavai/riv/strany	67;8
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/00/0724)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2004
http://linked.open...aciTvurceVysledku	Krupková, Olga Haková, Alžběta
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Matematický ústav v Opavě
http://linked.open...dnocenehoVysledku	632754
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/03:00000119
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	First-order partial differential equations; Lagrangian; Closed form; Differential ideal; Hamiltonian system; Multisymplectic (en)
http://linked.open.../riv/klicoveSlovo	Hamiltonian system Lagrangian Closed form Differential ideal First-order partial differential equations Multisymplectic
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[474F20E0C930]
http://linked.open...i/riv/nazevZdroje	Journal of Differential Equations
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Geometric analysis
http://linked.open...UplatneniVysledku	2003
http://linked.open...v/svazekPeriodika	191
http://linked.open...iv/tvurceVysledku	Krupková, Olga Haková, Alžběta
issn	0022-0396
number of pages	23 (xsd:int)
http://localhost/t...ganizacniJednotka	19610

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