Hamilton-Jacobi theory in Cauchy data space
arXiv:1411.3959 · doi:10.1016/S0034-4877(15)30038-0
Abstract
Recently, M. de León el al. ([9]) have developed a geometric Hamilton-Jacobi theory for Classical Field Theories in the setting of multisymplectic geometry. Our purpose in the current paper is to establish the corresponding Hamilton-Jacobi theory in the Cauchy data space, and relate both approaches.
References in corpus (4)
Cited by in corpus (9)
- Cosymplectic and contact structures to resolve time-dependent and dissipative hamiltonian systems
- Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems
- Geometric Hamilton-Jacobi theory for systems with external forces
- Hamilton-Jacobi theory in multisymplectic classical field theories
- An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications
- Hamilton-Jacobi theory for gauge field theories
- A review on geometric formulations for classical field theory: the Bonzom-Livine model for gravity
- Cauchy data space and multisymplectic formulation of conformal classical field theories
- Covariant momentum map for non-Abelian topological BF field theory