Reducible quasi-periodic solutions for the non linear Schrödinger equation
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Publication:295304
DOI10.1007/s40574-016-0066-0zbMath1339.37077arXiv1504.00564OpenAlexW3102874421MaRDI QIDQ295304
Claudio Procesi, Michela Procesi
Publication date: 13 June 2016
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.00564
NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
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Cites Work
- Unnamed Item
- Unnamed Item
- Growth of Sobolev norms for the analytic NLS on \(\mathbb{T}^2\)
- The energy graph of the non-linear Schrödinger equation
- A KAM algorithm for the resonant non-linear Schrödinger equation
- Branching of Cantor manifolds of elliptic tori and applications to PDEs
- A normal form for the Schrödinger equation with analytic non-linearities
- An abstract Nash-Moser theorem with parameters and applications to PDEs
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
- KAM for the nonlinear Schrödinger equation
- Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential
- Growth of Sobolev norms for the quintic NLS on \(\mathbb T^2\)
- KAM for reversible derivative wave equations
- KAM theory for the Hamiltonian derivative wave equation
- Quasi-Töplitz Functions in KAM Theorem
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
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