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

2024/01/22 by Schiavone, Luca
#49Sxx #53Dxx #53Zxx #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2401.12096

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.

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