Mather measures for space-time periodic nonconvex Hamiltonians

DOI10.1007/S40590-019-00244-4OpenAlexW2949639755WikidataQ114219075 ScholiaQ114219075MaRDI QIDQ2189026

Eddaly Guerra-Velasco

Publication date: 15 June 2020

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08612

zbMATH Keywords

Hamilton-Jacobi theoryAubry-Mather theorynon-convex Hamiltoniansperiodic Hamiltonians

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Cites Work

• Unnamed Item
• Unnamed Item
• Adjoint methods for static Hamilton-Jacobi equations
• Adjoint and compensated compactness methods for Hamilton-Jacobi PDE
• Selection problems for a discount degenerate viscous Hamilton-Jacobi equation
• Parabolic interior Schauder estimates by the maximum principle
• Viscosity solutions of Hamilton-Jacobi equations
• Effective Hamiltonians and averaging for Hamiltonian dynamics. II
• Interior Schauder estimates for parabolic differential- (or difference-) equations via the maximum principle
• Space-Time Periodic Solutions and Long-Time Behavior of Solutions to Quasi-linear Parabolic Equations
• MINIMAX PROBABILITIES FOR AUBRY–MATHER PROBLEMS
• Aubry–Mather Measures in the Nonconvex Setting
• A stochastic analogue of Aubry-Mather theory*
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• On the creation of conjugate points for Hamiltonian systems
• Young measure, superposition and transport
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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