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dc.contributor.authorde León, Manuel
dc.contributor.authorPrieto Martínez, Pedro Daniel
dc.contributor.authorRomán Roy, Narciso
dc.contributor.authorVilariño, Silvia
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2016-01-21T11:19:16Z
dc.date.available2016-01-21T11:19:16Z
dc.date.issued2015-04-08
dc.identifier.citationde León, M., P.D. Prieto-Martínez, Roman-Roy, N., Vilariño, S. "Hamilton-Jacobi theory in multisymplectic classical field theories". 2015.
dc.identifier.urihttp://hdl.handle.net/2117/81799
dc.description.abstractThe geometric framework for the Hamilton-Jacobi theory developed in [14, 17, 39] is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problema is stated for the Lagrangian and the Hamiltonian formalisms of these theories as a particular case of a more general problem, and the classical Hamilton-Jacobi equation for field theories is recovered from this geometrical setting. Particular and complete solutions to these problems are defined and characterized in several equivalent ways in both formalisms, and the equivalence between them is proved. The use of distributions in jet bundles that represent the solutions to the field equations is the fundamental tool in this formulation. Some examples are analyzed and, in particular, the Hamilton-Jacobi equation for non-autonomous mechanical systems is obtained as a special case of our results.
dc.format.extent44 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferential equations, Partial
dc.subject.otherClassical field theories
dc.subject.otherHamilton-Jacobi equations
dc.subject.otherMultisymplectic manifolds
dc.titleHamilton-Jacobi theory in multisymplectic classical field theories
dc.typeExternal research report
dc.subject.lemacEquacions diferencials
dc.contributor.groupUniversitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.relation.publisherversionhttp://arxiv.org/pdf/1504.02020v1.pdf
dc.rights.accessOpen Access
local.identifier.drac15584940
dc.description.versionPreprint
local.citation.authorde León, M.; Prieto-Martínez, P.D.; Roman-Roy, N.; Vilariño, S.


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