Variational first-order partial differential equations

DOI10.1016/S0022-0396(02)00160-2zbMath1028.35043MaRDI QIDQ1874498

Olga Krupková, Alžběta Haková

Publication date: 25 May 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemLagrange functionEuler-Lagrange systemLepage classesKrupka differential forms

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Jets in global analysis (58A20) Lagrange's equations (70H03)

Related Items

Global characterization of variational first-order quasi-linear equations, Variational sequences, representation sequences and applications in physics, Lepage Manifolds, THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS, First-Order Variational Sequences in Field Theory, Lepage Equivalents of Second-Order Euler–Lagrange Forms and the Inverse Problem of the Calculus of Variations, Partial differential equations with differential constraints, Variational principles for locally variational forms

Cites Work

• Hamiltonian field theory
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory
• A global version of the inverse problem of the calculus of variations
• Variational principles for energy-momentum tensors
• On the Existence of Global Variational Principles
• Extension of the classical Cartan form
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