Linearly stable KAM tori for higher dimensional Kirchhoff equations
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Publication:2074482
DOI10.1016/j.jde.2022.01.045OpenAlexW4210631842MaRDI QIDQ2074482
Publication date: 10 February 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.045
Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Related Items (3)
Quasi-periodic solutions for quintic completely resonant derivative beam equations on T2 ⋮ Quasi-periodic solutions for a generalized higher-order Boussinesq equation ⋮ Linearly stable KAM tori for one dimensional forced Kirchhoff equations with refined Töplitz-Lipschitz property
Cites Work
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- Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions
- KAM for autonomous quasi-linear perturbations of mKdV
- Quasi-periodic solutions of forced Kirchhoff equation
- An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
- A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
- Asymmetrical three-dimensional travelling gravity waves
- Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- Quasi-periodic solutions in a nonlinear Schrödinger equation
- KAM for the nonlinear Schrödinger equation
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- KAM tori for 1D nonlinear wave equations with periodic boundary conditions
- A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- Quasi-periodic solutions for a nonlinear wave equation
- Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential
- Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type
- Time quasi-periodic gravity water waves in finite depth
- An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds
- A KAM theorem for higher dimensional wave equations under nonlocal perturbation
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- Gravity capillary standing water waves
- A KAM theorem for higher dimensional nonlinear Schrödinger equations
- KAM for reversible derivative wave equations
- Standing waves on an infinitely deep perfect fluid under gravity
- KAM theory for the Hamiltonian derivative wave equation
- Quasi-Töplitz Functions in KAM Theorem
- Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential
- KAM tori for higher dimensional beam equations with constant potentials*
- Spectrum for quantum duffing oscillator and small-divisor equation with large-variable coefficient
- Small divisor problem in the theory of three-dimensional water gravity waves
- Periodic solutions of forced Kirchhoff equations
- Newton's method and periodic solutions of nonlinear wave equations
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- Quasi-periodic solutions for the forced Kirchhoff equation on $ \newcommand{\m}{\mu} \newcommand{\T}{\mathbb T} \T^d$
- Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves
- Periodic solutions of nonlinear hyperbolic partial differential equations. II
- An integrable normal form for water waves in infinite depth
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