Internal Lagrangians of PDEs as variational principles

DOI10.1016/j.geomphys.2024.105143arXiv2307.14175OpenAlexW4391973208MaRDI QIDQ6204222

Kostya Druzhkov

Publication date: 27 March 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.14175

zbMATH Keywords

variational principleNoether's theorempresymplectic structureinternal Lagrangian

Mathematics Subject Classification ID

Differential geometry (53-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of jet spaces and integrable systems
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory
• A multisymplectic framework for classical field theory and the calculus of variations. II: Space + time decomposition
• Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage-Dedecker versus De Donder-Weyl
• Presymplectic structures and intrinsic Lagrangians for massive fields
• Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories
• Extendable symplectic structures and the inverse problem of the calculus of variations for systems of equations written in generalized Kovalevskaya form
• On the inverse problem of the calculus of variations in field theory
• Covariant phase space, constraints, gauge and the Peierls formula
• Presymplectic current and the inverse problem of the calculus of variations
• On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
• Lagrangian formalism and the intrinsic geometry of PDEs

This page was built for publication: Internal Lagrangians of PDEs as variational principles