The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem
Analysis of PDEs
2024-01-23 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We carry on the approach used in [Sch] 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.
Cite
@article{arxiv.2401.12096,
title = {The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem},
author = {Luca Schiavone},
journal= {arXiv preprint arXiv:2401.12096},
year = {2024}
}