KAM Theory for Partial Differential Equations

DOI10.4208/ata.OA-0013zbMath1438.37044WikidataQ127820588 ScholiaQ127820588MaRDI QIDQ5198250

Massimiliano Berti

Publication date: 2 October 2019

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

reversible systemsSchrödinger equationsquasi-periodic solutionssmall divisorsinfinite-dimensional Hamiltonian

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (12)

Response solutions to harmonic oscillators beyond multi-dimensional Brjuno frequency ⋮ Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies ⋮ Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation ⋮ Normal form for the fractional nonlinear Schrödinger equation with cubic nonlinearity ⋮ Quasi-periodic solutions to the incompressible Euler equations in dimensions two and higher ⋮ Reducibility of 1-d quantum harmonic oscillator equation with unbounded oscillation perturbations ⋮ Time dependent center manifold in PDEs ⋮ Chaotic-like transfers of energy in Hamiltonian PDEs ⋮ Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations ⋮ Long time behavior of solutions for a damped Benjamin-Ono equation ⋮ Quasiperiodic solutions of NLS with Liouvillean frequencies ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes

This page was built for publication: KAM Theory for Partial Differential Equations