Reducibility of linear quasi-periodic Hamiltonian derivative wave equations and half-wave equations under the Brjuno conditions
Abstract
In this paper, we prove the reducibility for some linear quasi-periodic Hamiltonian derivative wave and half-wave equations under the Brjuno-R\"ussmann non-resonance conditions. This generalizes KAM theory by P\"oschel in [38] from the finite dimensional Hamiltonian systems to Hamiltonian PDEs.
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