Ergodicity of Hamilton-Jacobi equations with a noncoercive nonconvex Hamiltonian in \(\mathbb R^2/\mathbb Z^2\)
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Publication:975292
DOI10.1016/j.anihpc.2009.11.015zbMath1201.35089OpenAlexW2069085033MaRDI QIDQ975292
Publication date: 9 June 2010
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.11.015
Nonlinear first-order PDEs (35F20) Existence theories for optimal control problems involving ordinary differential equations (49J15) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Hamilton-Jacobi equations (35F21)
Related Items (14)
Quantitative stochastic homogenization of an unbounded front propagation problem ⋮ Asymptotic analysis for Hamilton-Jacobi-Bellman equations on Euclidean space ⋮ Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity ⋮ Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians ⋮ On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems ⋮ Stochastic homogenization of a front propagation problem with unbounded velocity ⋮ Unique ergodicity of deterministic zero-sum differential games ⋮ Ergodic behavior of control and mean field games problems depending on acceleration ⋮ Stochastic homogenization of interfaces moving with changing sign velocity ⋮ Asymptotics of values in dynamic games on large intervals ⋮ Front quenching in the G-equation model induced by straining of cellular flow ⋮ Uniform Tauberian theorem in differential games ⋮ Vanishing Discount Limit and Nonexpansive Optimal Control and Differential Games ⋮ Homogenization and Enhancement of theG-Equation in Random Environments
Cites Work
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- The value function of singularly perturbed control systems
- Some homogenization results for non-coercive Hamilton-Jacobi equations
- Homogenization of first-order equations with \((u/\varepsilon)\)-periodic Hamiltonians. I: Local equations
- Hamilton-Jacobi methods for vakonomic mechanics
- HAMILTON-JACOBI EQUATIONS WITH PARTIAL GRADIENT AND APPLICATION TO HOMOGENIZATION
- On the Existence of a Limit Value in Some Nonexpansive Optimal Control Problems
- Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations
- On Differential Games with Long-Time-Average Cost
- User’s guide to viscosity solutions of second order partial differential equations
- On ergodic stochastic control
- Ergodic Problems in Differential Games
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