RETRACTED ARTICLE: Global existence and general decay estimates of solutions of the degenerate or non-degenerate Kirchhoff equation with general dissipation
type: Item
instance of: scholarly article
title: RETRACTED ARTICLE: Global existence and general decay estimates of solutions of the degenerate or non-degenerate Kirchhoff equation with general dissipation
zbMATH Open document ID: 1372.35176
author: Abbes Benaissa
author: Aissa Guesmia
published in: Journal of Evolution Equations
publication date: 2012-01-13T00:00:00Z
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 5997664
MaRDI profile type: Publication
full work available at URL: s00028-010-0076-9
OpenAlex ID: W1993445569
cites work: Q4824320
cites work: Energy decay of solutions of a degenerate Kirchhoff equation with a weak nonlinear dissipation
cites work: Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
cites work: On the mildly degenerate Kirchhoff string
cites work: Global existence for abstract evolution equations of weakly hyperbolic type
cites work: Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation
cites work: Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation
cites work: On the global solvability of solutions to a quasilinear wave equation with localized damping and source terms
cites work: Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
cites work: On local solutions of some mildly degenerate hyperbolic equations
cites work: Global solvability for the degenerate Kirchhoff equation with real analytic data
cites work: Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
cites work: A quasilinear integrodifferential equation of hyperbolic type
cites work: Q4213960
cites work: Local solutions for a nonlinear degenerate Hyperbolic equation
cites work: Decay rates for solutions of a Maxwell system with nonlinear boundary damping
cites work: Q4654968
cites work: Nonlinear Goursat problem in Gevrey spaces for generalized Kirchhoff equations
cites work: Q3701859
cites work: Global solvability for the generalized degenerate Kirchhoff equation with real-analytic data in \(\mathbb{R}^n\)
cites work: Q4851730
cites work: Mathematical control theory of coupled PDEs
cites work: Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
cites work: Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
cites work: Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source
cites work: Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
cites work: Decay rates for dissipative wave equations
cites work: A new method to obtain decay rate estimates for dissipative systems
cites work: Q3797606
cites work: A difference inequality and its application to nonlinear evolution equations
cites work: Remarks on the existence and uniqueness of global decaying solutions of the nonlinear dissipative wave equations
cites work: Q3202567
cites work: Q4366334
cites work: Q4939445
cites work: On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
cites work: Q4392920
cites work: Weakly hyperbolic equation with fast oscillating coefficients
cites work: Q4405392
cites work: Existence for a nonlinear wave equation with damping and source terms.
cites work: On continuity of functions with values in various Banach spaces
cites work: Some nonlinear degenerate wave equations
cites work: Q3031362
DOI: 10.1007/S00028-010-0076-9
description: scientific article; zbMATH DE number 5997664