
doi: 10.5802/slsedp.24
handle: 20.500.11767/67628
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.
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
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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