The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem Articles uri icon

authors

  • SCHIAVONE, LUCA

publication date

  • September 2024

issue

  • 11, 2450195

volume

  • 21

International Standard Serial Number (ISSN)

  • 0219-8878

Electronic International Standard Serial Number (EISSN)

  • 1793-6977

abstract

  • We carry on the approach used in [L. Schiavone, The inverse problem within free Electrodynamics and the coisotropic embedding theorem, Inter. J. Geom. Meth. Mod. Phys. 21(7) (2024) 2450131] to provide a solution for the inverse problem of the calculus of variations for Maxwell equations in vacuum and we provide an abstract theory including all implicit differential equations that can be formulated in terms of vector fields over pre-symplectic manifolds.

subjects

  • Mathematics

keywords

  • inverse problem; symplectic geometry; coisotropic embeddings; implicit differential equations; gauge theories