The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation
From MaRDI portal
Publication:2664473
DOI10.1016/j.anihpc.2020.09.006zbMath1466.35314arXiv1905.08398OpenAlexW3086229690MaRDI QIDQ2664473
Publication date: 20 April 2021
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.08398
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items
About linearization of infinite-dimensional Hamiltonian systems ⋮ Exponential and sub-exponential stability times for the derivative wave equation ⋮ Stability and recursive solutions in Hamiltonian PDEs ⋮ Small amplitude weak almost periodic solutions for the 1d NLS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions
- KAM for autonomous quasi-linear perturbations of mKdV
- A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
- The stability of full dimensional KAM tori for nonlinear Schrödinger equation
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- KAM for the nonlinear Schrödinger equation
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- Anderson localization for two interacting quasiperiodic particles
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
- Quasi-periodic solutions for a nonlinear wave equation
- Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential
- Time quasi-periodic gravity water waves in finite depth
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- Almost periodic solutions of one dimensional Schrödinger equation with the external parameters
- Invariant tori for 1D quintic nonlinear wave equation
- On invariant tori of full dimension for 1D periodic NLS
- Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential
- Newton's method and periodic solutions of nonlinear wave equations
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- On the construction of almost periodic solutions for a nonlinear Schrödinger equation
