Theoreme de Cauchy global pour les equations d'evolution non-lineaires

Details Theoreme de Cauchy global pour les equations d'evolution non-lineaires Theoreme de Cauchy global pour les equations d'evolution non-lineaires

2003-04-28

arxiv.org/abs/math/0304443v1

Mathematics

Analysis of PDEs

67 pages, in french

Scientific paper

We study non-linear evolution equations with periodic initial conditions. In
particular, we use the graph method introduced by Galavotti to prove the
existence of global solution of Hamiltonian perturbation of KdV without any
restriction on the size of the initial condition, in contrast with previous
results on this subject.

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