Long time stability in perturbations of completely resonant PDE's

DOI10.1023/A:1013943111479zbMath1106.37308MaRDI QIDQ1597429

Nikolaiĭ N. Nekhoroshev, Dario Bambusi

Publication date: 30 May 2002

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsstability properties partial differential equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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Long time stability of KAM tori for the generalized Boussinesq equation ⋮ Generic Nekhoroshev theory without small divisors ⋮ On a quantitative theory of limits: estimating the speed of convergence ⋮ A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential

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