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Titlebook: Hamiltonian Dynamical Systems and Applications; Walter Craig Conference proceedings 20081st edition Springer Science+Business Media B.V. 2

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Spectral gaps of potentials in weighted Sobolev spaces,undary conditions. We prove results about correspondencies between the asymptotic behaviour of the spectral gaps of . and the regularity of . in the Gevrey case, among others. The proofs are based on a Fourier block decomposition due to Kappeler &Mityagin, and a novel application of the implicit function theorem.
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Walter CraigLecture notes on current state-of-the-art by the researchers who have developed the theory.Introductions of the technically deep methods of Hamiltonian mechanics to partial differential equations.Cont
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The Phylogeny of Anguinomorph LizardsIn these lectures we present an extension of Birkhoff normal form theorem to some Hamiltonian PDEs. The theorem applies to semilinear equations with nonlinearity of a suitable class.We present an application to the nonlinear wave equation on a segment or on a sphere. We also give a complete proof of all the results.
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