106 citations · 677 across the 72 of their papers we have counts for
Showing 2011 · math-phShow all
2 papers · 2 filters
math-ph2011★ 12 cited
Generating Functionals and Lagrangian PDEs
Joris Vankerschaver, Cuicui Liao, Melvin Leok
We introduce the concept of Type-I/II generating functionals defined on the space of boundary data of a Lagrangian field theory. On the Lagrangian side, we define an analogue of Ja…
math-ph2011★ 26 cited
Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints
Melvin Leok, Tomoki Ohsawa, Diana Sosa
We extend Hamilton-Jacobi theory to Lagrange-Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians a…