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Dynamical Systems and PDEs

Research topics

  • KAM for PDEs
  • Water waves, KdV, Schrodinger and Klein-Gordon equations
  • Hamiltonian systems
  • Birkhoff normal form for PDEs and long time existence
  • Chaotic Dynamics and Arnold Diffusion
  • Variational Methods
  • Perturbative Methods in Critical Point Theory
  • Elliptic Equations on $\mathbb R^n$ and Nonlinear Schrodinger Equation

Research Group

Main External Collaborators

Grants

  • PRIN, Variational methods, with applications to problems in mathematical physics and geometry. (2015-2017)

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