Viscosity subsolutions of Hamilton–Jacobi equations and invariant sets of contact Hamilton systems
DOI10.1063/5.0078226OpenAlexW4303982789MaRDI QIDQ5883845
Jun Yan, Unnamed Author, Kai Zhao
Publication date: 17 March 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.10906
Hamilton-Jacobi equations in mechanics (70H20) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Hamilton-Jacobi equations (35F21) Contact systems (37J55) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)
Cites Work
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Perron's method for Hamilton-Jacobi equations
- Viscosity solutions of Hamilton-Jacobi equations
- Variational principle for contact Hamiltonian systems and its applications
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- Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions
- Herglotz' variational principle and Lax-Oleinik evolution
- Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations
- Weak KAM from a PDE point of view: viscosity solutions of the Hamilton–Jacobi equation and Aubry set
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- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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