A global version of the inverse problem of the calculus of variations
type: Item
instance of: scholarly article
title: A global version of the inverse problem of the calculus of variations
zbMATH Open document ID: 0463.58015
published in: Journal of Differential Geometry
publication date: 1979-01-01T00:00:00Z
review text: The author solves a global version of the inverse problem in the calculus of variations. The essential task in this problem is to determine under what conditions, if any, given field equations are the Euler-Lagrange equations corresponding to a Lagrangian. Unfortunately for the author, a more complete and elegant solution was given earlier by \textit{A. M. Vinogradov} [Sov. Math., Dokl. 18(1977), 1200--1204 (1978); translation from Dokl. Akad. Nauk SSSR 236, 284--287 (1977; Zbl 0403.58005), Sov.. Math., Dokl. 19, 144--148 (1978); translation from Dokl. Akad. Nauk SSSR 238, 1028--1031 (1978; Zbl 0406.58015)].
Mathematics Subject Classification ID: 58E30
Mathematics Subject Classification ID: 49N45
Mathematics Subject Classification ID: 70H03
Mathematics Subject Classification ID: 58A20
Mathematics Subject Classification ID: 58E10
Mathematics Subject Classification ID: 57R25
zbMATH DE Number: 3725348
zbMATH Keywords: global version of the inverse problem in the calculus of variations
zbMATH Keywords: field equations
zbMATH Keywords: Euler-Lagrange equations corresponding to a Lagrangian
Wikidata QID: Q115189041
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214435235
OpenAlex ID: W1596652901
DOI: 10.4310/JDG/1214435235
author: Floris Takens
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description: scientific article; zbMATH DE number 3725348