Anderson, Ian M. Aspects of the inverse problem to the calculus of variations. (English) Zbl 0674.58017 Arch. Math., Brno 24, No. 4, 181-202 (1988). This is an overview of the inverse problem of the calculus of variations associated with the variational bicomplex. The topics treated here include the local and global theories, the equivariant inverse problem and the relationship of the inverse problem to Noether’s theorem. Reviewer: G.Toth Cited in 13 Documents MSC: 58E30 Variational principles in infinite-dimensional spaces Keywords:Euler-Lagrange equations; Helmholtz equations; Cartan forms; Chern-Simons invariants; inverse problem; variational bicomplex; Noether’s theorem PDFBibTeX XMLCite \textit{I. M. Anderson}, Arch. Math., Brno 24, No. 4, 181--202 (1988; Zbl 0674.58017) Full Text: EuDML