Long-time Sobolev stability for small solutions of quasi-linear Klein-Gordon equations on the circle
type: Item
instance of: scholarly article
title: Long-time Sobolev stability for small solutions of quasi-linear Klein-Gordon equations on the circle
zbMATH Open document ID: 1179.35195
DOI: 10.1090/S0002-9947-09-04747-3
author: Jean-Marc Delort
published in: Transactions of the American Mathematical Society
publication date: 2009-07-23T00:00:00Z
Mathematics Subject Classification ID: 35L72
Mathematics Subject Classification ID: 35S50
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 5585239
zbMATH Keywords: one space dimension
MaRDI profile type: Publication
cites work: Birkhoff normal form for some nonlinear PDEs
cites work: Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds
cites work: Birkhoff normal form for partial differential equations with tame modulus
cites work: Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
cites work: Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
cites work: Q4880973
cites work: Resonant decompositions and the \(I\)-method for the cubic nonlinear Schrödinger equation on \(\mathbb R^2\)
cites work: Temps d'existence pour l'equation de Klein-Gordon semi-lineaire a donnees petites periodiques
cites work: Q5693348
cites work: Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
cites work: Bounded almost global solutions for non Hamiltonian semi-linear Klein-Gordon equations with radial data on compact revolution hypersurfaces
cites work: Q5450514
cites work: Lectures on nonlinear hyperbolic differential equations
cites work: Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
cites work: Normal forms and quadratic nonlinear Klein-Gordon equations
description: scientific article; zbMATH DE number 5585239