The global finite structure of generic envelope loci for Hamilton–Jacobi equations

DOI10.1063/1.1423400zbMath1059.53067OpenAlexW2060712046MaRDI QIDQ4830683

Franco Cardin

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1423400

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Canonical transformations in symplectic and contact geometry (53D22)

Related Items

GEOMETRIC APPROACH TO THE HAMILTON–JACOBI EQUATION AND GLOBAL PARAMETRICES FOR THE SCHRÖDINGER PROPAGATOR ⋮ Lagrangian submanifold landscapes of necessary conditions for maxima in optimal control: global parameterizations and generalized solutions ⋮ Finite reductions for dissipative systems and viscous fluid-dynamic models on \(\mathbb T^2\) ⋮ Global parametrices for the Schrödinger propagator and geometric approach to the Hamilton-Jacobi equation ⋮ Generic singularities of minimax solutions to Hamilton-Jacobi equations ⋮ Some properties of generating functions obtained by Amann-Conley-Zehnder reduction ⋮ Lack of critical phase points and exponentially faint illumination

Cites Work

• Realization theorems of geometric singularities for Hamilton-Jacobi equations
• Problèmes d'intersections et de points fixes en géométrie hamiltonienne. (Intersection and fixed-point problems in Hamiltonian geometry)
• Fourier integral operators. I
• On Hopf's formulas for solutions of Hamilton-Jacobi equations
• On viscosity and geometrical solutions of Hamilton-Jacobi equations
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Periodic solutions of asymptotically linear Hamiltonian systems