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Séminaire Laurent Schwartz — EDP et applications
Article . 2014 . Peer-reviewed
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Article . 2013
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Quasi-periodic solutions of PDEs

Authors: Berti, Massimiliano;

Quasi-periodic solutions of PDEs

Abstract

The aim of this talk is to present some recent existence results about quasi-periodic solutions for PDEs like nonlinear wave and Schrödinger equations in 𝕋 d , d≥2, and the 1-d derivative wave equation. The proofs are based on both Nash-Moser implicit function theorems and KAM theory.

Keywords

Almost and pseudo-almost periodic solutions to PDEs, Second-order semilinear hyperbolic equations, Nash-Moser theory, nonlinear Schrödinger and wave equation, NLS equations (nonlinear Schrödinger equations), Équations aux dérivées partielles -- Actes de congrès, small divisors, infinite dimensional Hamiltonian systems, KAM for PDE, Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems, periodic boundary conditions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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