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20232025
most citedExact Global Control of Small Divisors in Rational Normal Form

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math.AP2024

A Birkhoff Normal Form Theorem for Partial Differential Equations on torus

Jianjun Liu, Duohui Xiang

We prove an abstract Birkhoff normal form theorem for Hamiltonian partial differential equations on torus. The normal form is complete up to arbitrary finite order. The proof is ba…