Exponential averaging for Hamiltonian evolution equations

DOI10.1090/S0002-9947-02-03143-4zbMath1008.37043MaRDI QIDQ4779893

Arnd Scheel, Karsten Matthies

Publication date: 28 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationaveraginginfinite-dimensional Hamiltonian systemGevrey regularityexponential orderanalytic evolution equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (10)

Exponential estimates of symplectic slow manifolds ⋮ Quartic normal forms for the periodic nonlinear Schrödinger equation with dispersion manage\-ment ⋮ Slow manifolds for infinite-dimensional evolution equations ⋮ Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations ⋮ H s -class construction of an almost invariant slow subspace for the Klein–Gordon equation in the non-relativistic limit ⋮ Unnamed Item ⋮ Exponential convergence of a spectral projection of the KdV equation ⋮ Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds ⋮ A direct construction of a slow manifold for a semilinear wave equation of Klein-Gordon type ⋮ Stroboscopic averaging for the nonlinear Schrödinger equation

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