The thesis deals with perturbation theory for non-linear Hamiltonian partial differential equations on high dimensional compact manifolds. In particular, we prove almost global existence for some PDEs of general interest and we provide a suitable algebraic and geometric framework. Proofs are based on normal form methods.
NORMAL FORM METHODS FOR SOME NON LINEAR HAMILTONIAN PDES IN HIGHER DIMENSION
MONZANI, FRANCESCO
2024
Abstract
The thesis deals with perturbation theory for non-linear Hamiltonian partial differential equations on high dimensional compact manifolds. In particular, we prove almost global existence for some PDEs of general interest and we provide a suitable algebraic and geometric framework. Proofs are based on normal form methods.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.14242/85448
Il codice NBN di questa tesi è
URN:NBN:IT:UNIMI-85448