The existence and decay of solutions of a damped Kirchhoff-Carrier equation in Banach spaces
type: Item
instance of: scholarly article
title: The existence and decay of solutions of a damped Kirchhoff-Carrier equation in Banach spaces
zbMATH Open document ID: 1198.35157
author: R. R. Carvalho
author: M. Milla Miranda
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-08-19T00:00:00Z
Mathematics Subject Classification ID: 35L90
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35L72
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5773036
zbMATH Keywords: local and global solutions
zbMATH Keywords: successive approximation method
zbMATH Keywords: Arzela-Áscoli theorem
MaRDI profile type: Publication
full work available at URL: j.na.2010.05.038
OpenAlex ID: W2072871809
cites work: On the non-linear vibration problem of the elastic string
cites work: Q4423157
cites work: Q5780514
cites work: On a global solution of some quasilinear hyperbolic equation
cites work: Global classical solutions to the Cauchy problem for a nonlinear wave equation
cites work: Q4396801
cites work: Q3797606
cites work: Q3709198
cites work: Local solutions for a nonlinear degenerate Hyperbolic equation
cites work: Some nonlinear degenerate wave equations
cites work: Q3031362
cites work: On the mildly degenerate Kirchhoff string
cites work: Mathematical analysis of the nonlinear model for the vibrations of a string
cites work: On local solutions of some mildly degenerate hyperbolic equations
cites work: Q5757136
cites work: Q3519742
cites work: Existence of local solutions of the Kirchhoff-Carrier equation in Banach spaces
DOI: 10.1016/J.NA.2010.05.038
Recommended article: Q3519742
Recommended article: Q5757136
Recommended article: Existence of local solutions of the Kirchhoff-Carrier equation in Banach spaces
Recommended article: Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation
Recommended article: Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
Recommended article: On decay properties of solutions for degenerate Kirchhoff equations with strong damping and source terms
Recommended article: On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type
Recommended article: General decay of solutions for damped wave equation of Kirchhoff type with density in \(\mathbb R^n\)
Recommended article: A study on decay mild solutions for damped elastic systems in Banach spaces
Recommended article: On Existence of global solutions for the carrier model with nonlinear damping and source terms
description: scientific article; zbMATH DE number 5773036