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Hamiltonian Partial differential equations
Birkhoff normal forms, KAM theorem, Long term behavior of Hamiltonian PDEs like Nonlinear Schrödinger equation, Nonlinear Klein Gordon equation, the Quantum Harmonic Oscillator
in higher dimension
Nonlinear effects, beating phenomena in Hamiltonian PDEs
Modified scattering, resonant systems, asymptotic stability
Reducibility for linear time dependant Hamiltonian PDEs
Splitting methods for Hamiltonian PDEs
Variational methods for PDEs
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