Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations

JEAN BOURGAIN

doi:10.1017/S0143385703000750

Abstract

This is a partial survey of various developments of the classical KAM theory in dynamical systems to infinite-dimensional lattice models and Hamiltonian PDEs. Particular emphasis is given on Nekhoroshev stability and growth of higher Sobolev norms. Some new results are also presented.

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Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations

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