Global well-posedness of Kirchhoff systems
type: Item
instance of: scholarly article
title: Global well-posedness of Kirchhoff systems
zbMATH Open document ID: 1282.35251
author: Tokio Matsuyama
author: Michael Ruzhansky
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2013-12-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1211.3009
Mathematics Subject Classification ID: 35L77
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35S10
Mathematics Subject Classification ID: 35L56
zbMATH DE Number: 6239403
zbMATH Keywords: Kirchhoff equation
zbMATH Keywords: asymptotic integration
zbMATH Keywords: time-dependent coefficients
zbMATH Keywords: fixed point argument
MaRDI profile type: Publication
OpenAlex ID: W3100716058
arXiv ID: 1211.3009
cites work: Q5780514
cites work: Global existence for nonlinear hyperbolic systems of Kirchhoff type
cites work: Q5848416
cites work: A class of nonlinear hyperbolic problems with global solutions
cites work: Nonlinear perturbations of the kirchhoff equation
cites work: Kirchhoff type equations depending on a small parameter
cites work: Kirchhoff equations from quasi-analytic to spectral-gap data
cites work: The initial value problem for a stretched string
cites work: Q5330830
cites work: Global solvability for Kirchhoff equation in special classes of non-analytic functions
cites work: Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations
cites work: On the global solvability of symmetric hyperbolic systems of Kirchhoff type
cites work: On the global solvability of Kirchhoff equation for non-analytic initial data
cites work: Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation
cites work: Q3013276
cites work: Asymptotic integration and dispersion for hyperbolic equations
cites work: Scattering for strictly hyperbolic systems with time-dependent coefficients
cites work: Q5679204
cites work: On a global solution of some quasilinear hyperbolic equation
cites work: One-dimensional Kirchhoff equation
cites work: Dispersive estimates for hyperbolic systems with time-dependent coefficients
cites work: Scattering for a quasilinear hyperbolic equation of Kirchhoff type
cites work: Global solvability for the Kirchhoff equations in exterior domains of dimension larger than three
cites work: Global solvability for the Kirchhoff equations in exterior domains of dimension three
cites work: Q5620934
DOI: 10.1016/J.MATPUR.2012.12.002
Recommended article: Global well-posedness for a class of Kirchhoff-type wave system
Recommended article: Problème de Cauchy global pour des équations de Kirchhoff
Recommended article: Q3840750
Recommended article: Global nonexistence for nonlinear Kirchhoff systems
Recommended article: Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation
Recommended article: Global well-posedness for the KP-I equation
Recommended article: Global solvability to the Kirchhoff equation for a new class of initial data
Recommended article: Global existence for nonlinear hyperbolic systems of Kirchhoff type
Recommended article: Q3098697
Recommended article: Global well-posedness for the Kadomtsev-Petviashvili II equation
description: scientific article; zbMATH DE number 6239403