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

2003/04/28 by Jean-Baptiste Yvernault, Yvernault, Jean-Baptiste
Mathematics · Physics and Astronomy · #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35Q53

paper · pdf · doi:10.48550/arxiv.math/0304443

67 pages, in french

arxiv created 2003/04/28 · arxiv updated 2009/11/30

Abstract

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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