Weak KAM Theory on the Wasserstein Torus with Multidimensional Underlying Space

DOI10.1002/cpa.21492zbMath1321.37074OpenAlexW2104635362MaRDI QIDQ5406690

Wilfrid Gangbo, Adrian Tudorascu

Publication date: 2 April 2014

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.21492

zbMATH Keywords

perturbationsKAM for infinite-dimensional systems

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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• Sur le transport de mesures périodiques
• Periodic homogenization of Hamilton-Jacobi equations: Additive eigenvalues and variational formula
• A Survey of partial differential equations methods in weak KAM theory
• Hamiltonian ODEs in the Wasserstein space of probability measures

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