Generalized Mather problem and selection principles for viscosity solutions and mather measures
From MaRDI portal
Publication:3546161
DOI10.1515/ACV.2008.012zbMath1181.37090MaRDI QIDQ3546161
Publication date: 18 December 2008
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Numerical optimization and variational techniques (65K10) Optimal stochastic control (93E20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
Related Items
The vanishing discount problem and viscosity Mather measures. 1: The problem on a torus, The selection problem for some first-order stationary mean-field games, Weak KAM theory for discounted Hamilton-Jacobi equations and its application, Convergence of the solutions of the discounted equation: the discrete case, Existence of Weak Solutions to Stationary Mean-Field Games through Variational Inequalities, The vanishing discount problem and viscosity Mather measures. II: Boundary value problems, Calibrated configurations for Frenkel-Kontorova type models in almost periodic environments, Long time behavior of the master equation in mean field game theory, Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function, A Selection Principle for Weak KAM Solutions via Freidlin–Wentzell Large Deviation Principle of Invariant Measures, Hamilton Dynamics in Chemical Reactions: the Maupertuis Principle, Transition Paths and Energy Landscape, Discrete approximation of stationary mean field games, The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. II: Nonlinear coupling, Herglotz' variational principle and Lax-Oleinik evolution, Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: the central role of Mather measures, Unnamed Item, Unnamed Item, Vanishing contact structure problem and convergence of the viscosity solutions, Applications of variable discounting dynamic programming to iterated function systems and related problems, On Cell Problems for Nonlinear PDES and Its Application to Homogenization, A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems, The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases, Error estimates for the approximation of the effective Hamiltonian, Mather measures selected by an approximation scheme, On uniqueness sets of additive eigenvalue problems and applications, Uniqueness structure of weakly coupled systems of ergodic problems of Hamilton-Jacobi equations, Selection problems for a discount degenerate viscous Hamilton-Jacobi equation, Generalized ergodic problems: existence and uniqueness structures of solutions, Weak KAM theory for action minimizing random walks, Aubry-Mather theory for contact Hamiltonian systems. II, On the connection between a skew product IFS and the ergodic optimization for a finite family of potentials, The large time profile for Hamilton-Jacobi-Bellman equations
Cites Work
- Viscosity solution methods and the discrete Aubry-Mather problem
- Action minimizing invariant measures for positive definite Lagrangian systems
- Physical solutions of the Hamilton-Jacobi equation
- A stochastic analogue of Aubry-Mather theory*
- Generic properties and problems of minimizing measures of Lagrangian systems
