Quasi-periodic solutions for a Schrödinger equation under periodic boundary conditions with given potential
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Publication:2135157
DOI10.1016/j.jde.2022.04.021OpenAlexW4224314838MaRDI QIDQ2135157
Publication date: 4 May 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.04.021
Periodic solutions to PDEs (35B10) Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Cites Work
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- KAM for autonomous quasi-linear perturbations of mKdV
- Quasi-periodic solutions of derivative nonlinear Schrödinger equations with a given potential
- A KAM algorithm for the resonant non-linear Schrödinger equation
- Quasi-periodic solutions for perturbed generalized nonlinear vibrating string equation with singularities
- Lower dimensional invariant tori with prescribed frequency for nonlinear wave 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
- 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 of completely resonant nonlinear wave equations
- Quasi-periodic solutions of nonlinear wave equations with a prescribed potential
- 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
- Nearly integrable infinite-dimensional Hamiltonian systems
- KAM tori for 1D nonlinear wave equations with periodic boundary conditions
- A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
- Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
- The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation
- 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
- Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- A KAM theorem for higher dimensional nonlinear Schrödinger equations
- A KAM theorem with applications to partial differential equations of higher dimensions
- Invariant tori of nonlinear Schrödinger equations with a given potential
- KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions
- Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential
- KAM tori for reversible partial differential equations
- Newton's method and periodic solutions of nonlinear wave equations
- Quasi-periodic solution of quasi-linear fifth-order KdV equation