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

By Jean-Baptiste Yvernault

Abstract

67 pages, in frenchWe 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

Topics: [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]
Publisher: HAL CCSD
Year: 2003
OAI identifier: oai:HAL:hal-00008610v1
Provided by: Hal-Diderot
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