On the vanishing discount problem from the negative direction
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Publication:2030060
DOI10.3934/dcds.2020368zbMath1470.35136arXiv2007.12458OpenAlexW3097650279MaRDI QIDQ2030060
Publication date: 4 June 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.12458
Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)
Related Items (5)
Hamilton–Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown ⋮ Multiple asymptotic behaviors of solutions in the generalized vanishing discount problem ⋮ On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case ⋮ Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: the central role of Mather measures ⋮ Aubry-Mather theory for contact Hamiltonian systems. II
Cites Work
- Convergence of the solutions of the discounted equation: the discrete case
- Lagrangian graphs, minimizing measures and Mañé's critical values
- Viscosity solutions of Hamilton-Jacobi equations
- Variational principle for contact Hamiltonian systems and its applications
- Aubry-Mather theory for contact Hamiltonian systems
- Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
- Aubry-Mather theory for conformally symplectic systems
- Smooth critical sub-solutions of the Hamilton-Jacobi equation
- La théorie générale de la mesure dans son application à l'étude des systèmes dynamiques de la mécanique non linéaire
- Implicit variational principle for contact Hamiltonian systems
- Optimization and nonsmooth analysis
- Generalized one-sided estimates for solutions of Hamilton-Jacobi equations and applications
- Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds
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