NEW ESTIMATES FOR EVANS' VARIATIONAL APPROACH TO WEAK KAM THEORY

DOI10.1142/S0219199712500551zbMath1277.35127arXiv1109.3289OpenAlexW3101030871MaRDI QIDQ4916150

Franco Cardin, Olga Bernardi, Massimilliano Guzzo

Publication date: 19 April 2013

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3289

zbMATH Keywords

approximate variational principles

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Other variational principles in mechanics (70H30) Nearly integrable Hamiltonian systems, KAM theory (70H08) Hamilton-Jacobi equations (35F21)

Related Items (2)

Analytic dependence on parameters for Evans' approximated weak KAM solutions ⋮ New identities for weak KAM theory

Cites Work

• Further PDE methods for weak KAM theory
• Action minimizing invariant measures for positive definite Lagrangian systems
• Variational construction of connecting orbits
• Some new PDE methods for weak KAM theory
• On the Lambert \(w\) function
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• New aspects in the theory of stability of Hamiltonian systems
• Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
• Lagrangian flows: The dynamics of globally minimizing orbits
• Solutions KAM faibles conjuguées et barrières de Peierls
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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