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Percival Lagrangian approach to the Aubry–Mather theory

✍ Scribed by Xifeng Su; Rafael de la Llave


Book ID
118441121
Publisher
Elsevier Science
Year
2012
Tongue
German
Weight
284 KB
Volume
30
Category
Article
ISSN
0723-0869

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Consider a Hamiltonian system with Hamiltonian of the form H(x, t, p) where H is convex in p and periodic in x, and t and x ∈ R 1 . It is well-known that its smooth invariant curves correspond to smooth Z 2 -periodic solutions of the PDE ut + H(x, t, u)x = 0 . In this paper, we establish a connecti