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KAM in infinite dimension
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Classroom Contents
Stability and Recursive Solutions in Hamiltonian PDEs
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- 1 Intro
- 2 Non linear PDE's
- 3 PDE examples
- 4 Dynamical systems in dimension.
- 5 Invariant tori
- 6 Infinite tori
- 7 Perturbation Theory
- 8 Small solutions
- 9 Linear theory
- 10 KAM in infinite dimension
- 11 A result on the reversible autonomous NLS Consider a reversible NLS equation
- 12 Generic tangential sites
- 13 EXAMPLE: points connected by edges
- 14 The main combinatorial Theorem
- 15 Drawbacks
- 16 Finite regularity solutions for NLS
- 17 Open problems
