Stability and Recursive Solutions in Hamiltonian PDEs

Stability and Recursive Solutions in Hamiltonian PDEs

International Mathematical Union via YouTube Direct link

Intro

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1 of 17

Intro

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Classroom Contents

Stability and Recursive Solutions in Hamiltonian PDEs

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

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