The Lagrangian order-reduction theorem in field theories

DOI10.1007/s00220-018-3129-5zbMath1397.49008OpenAlexW2795920561WikidataQ130027436 ScholiaQ130027436MaRDI QIDQ1664335

Olga Krupková

Publication date: 24 August 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-018-3129-5

zbMATH Keywords

order reductionfirst order Lagrangiansvariational second order PDEs affine derivatives

Mathematics Subject Classification ID

Geometric methods (93B27) Transformations (93B17) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (6)

Higher order Hamiltonian systems with generalized Legendre transformation ⋮ On the closure property of Lepage equivalents of Lagrangians ⋮ Junction conditions in a general field theory ⋮ Lagrangian description of Heisenberg and Landau–von Neumann equations of motion ⋮ Almost every path structure is not variational ⋮ Variational formalism for generic shells in general relativity

Cites Work

• Variational sequences, representation sequences and applications in physics
• Hamiltonian field theory
• Legendre transformation for regularizable Lagrangians in field theory
• Lagrangian and Hamiltonian duality
• The Hamilton-Cartan formalism in the calculus of variations
• The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas’s analysis
• Geometry of variational partial differential equations and Hamiltonian systems
• Lepage Equivalents of Second-Order Euler–Lagrange Forms and the Inverse Problem of the Calculus of Variations
• On the Existence of Global Variational Principles
• Introduction to Global Variational Geometry
• Solution of the Inverse Problem of the Calculus of Variations
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