Kuksin, Sergei B.

Elements of a qualitative theory of Hamiltonian PDEs

Doc. Math. (Bielefeld) Extra Vol. ICM Berlin 1998, Vol. II, 819-829 (1998)

Mathematics Subject Classification

35Q53, 37K05, 37K55


nearly integrable PDEs, symplectic invariants, small-dispersion/dissipation equations, asymptotical spectral properties, Kolmogorov-Obukhov law, persistence, KAM for PDEs, small oscillations, averaging theorems, Gromov's non-squeezing property, Gibbs measure, symplectic capacity, phase-space, bounds for averaged high norms