Partial Differential Hamiltonian Systems

@article{Vitagliano2013PartialDH,
  title={Partial Differential Hamiltonian Systems},
  author={Luca Vitagliano},
  journal={Canadian Journal of Mathematics},
  year={2013},
  volume={65},
  pages={1164 - 1200}
}
  • L. Vitagliano
  • Published 2013
  • Mathematics, Physics
  • Canadian Journal of Mathematics
Abstract We define partial differential ( $\text{PD}$ in the following), i.e., field theoretic analogues of Hamiltonian systems on abstract symplectic manifolds and study their main properties, namely, $\text{PD}$ Hamilton equations, $\text{PD}$ Noether theorem, $\text{PD}$ Poisson bracket, etc. Unlike the standard multisymplectic approach to Hamiltonian field theory, in our formalism, the geometric structure (kinematics) and the dynamical information on the “phase space” appear as just… Expand
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A Complete Bibliography of Publications in Canadian Journal of Mathematics = Journal canadien de mathématiques for the decade 1940–1949
33]. algebraic [5]. Angular [24]. Applications [30]. arbitrary [8]. associated [18]. Axiomatic [31]. between [27]. bounded [11, 14]. Boundedness [16]. Cayleyan [4]. certain [9]. characteristic [35].Expand
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