Elements of a qualitative theory of Hamiltonian PDEs

zbMath0967.35123MaRDI QIDQ1126734

Sergej B. Kuksin

Publication date: 6 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223605

zbMATH Keywords

persistencesymplectic capacityaveraging theoremsGibbs measuresmall oscillationsKAM for PDEssymplectic invariantsphase-spaceasymptotical spectral propertiesbounds for averaged high normsGromov's non-squeezing propertyKolmogorov-Obukhov lawnearly integrable PDEssmall-dispersion/dissipation equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (7)

A KAM theorem with applications to partial differential equations of higher dimensions ⋮ Quasi-periodic solutions of completely resonant nonlinear wave equations ⋮ Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension. ⋮ Melnikov's conditions in matrices ⋮ Degenerate lower-dimensional tori in Hamiltonian systems ⋮ Persistence of Lagrange invariant tori at tangent degeneracy ⋮ Quasi-periodic solutions of nonlinear wave equations with quasi-periodic forcing

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