Vitagliano L. Hamilton-Jacobi field theory, talk at The Workshop on GDEq and Integrability, 11-15 October 2010, Hradec nad Moravici, Czech Republic (abstract)
Speaker: Luca Vitagliano
Title: Hamilton-Jacobi field theory
The Hamilton-Jacobi formalism for Lagrangian mechanical systems (in the Hamiltonian picture) can be extended to higher derivative Lagrangian field theory. I will show that Hamilton-Jacobi field theory gives rise to a secondary (i.e. functional) Hamilton-Jacobi theory on the covariant phase space, i.e., the space of solutions of Euler-Lagrange field equations.
Slides: Vitagliano L. Hamilton-Jacobi field theory (presentation at The Workshop on Geometry of Differential Equations and Integrability, 11-15 October 2010, Hradec nad Moravici, Czech Republic).pdf