Blow-up of solutions for a class quasilinear wave equation with nonlinearity variable exponents
type: Item
instance of: scholarly article
title: Blow-up of solutions for a class quasilinear wave equation with nonlinearity variable exponents
zbMATH Open document ID: 1467.35063
DOI: 10.1155/2021/5546630
author: Zakia Tebba
author: Hakima Degaichia
author: Mohamed Abdalla
author: Bahri Cherif
author: Ibrahim Mekawy
published in: Journal of Function Spaces
publication date: 2021-06-30T00:00:00Z
review text: Summary: This work deals with the blow-up of solutions for a new class of quasilinear wave equation with variable exponent nonlinearities. To clarify more, we prove in the presence of dispersion term \(-\Delta u_{tt}\) a finite-time blow-up result for the solutions with negative initial energy and also for certain solutions with positive energy. Our results are extension of the recent work [\textit{S. A. Messaoudi} and \textit{A. A. Talahmeh}, Appl. Anal. 96, No. 9, 1509--1515 (2017; Zbl 1382.35055)].
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L72
zbMATH DE Number: 7365474
zbMATH Keywords: variable exponent nonlinearities
zbMATH Keywords: dispersion term
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5546630
OpenAlex ID: W3160583117
cites work: REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: Q3488490
cites work: Global nonexistence theorems for a class of evolution equations with dissipation
cites work: Global existence, uniqueness, and asymptotic behavior of solution for \(p\)-Laplacian type wave equation
cites work: Decay estimates for the wave equation of p-Laplacian type with dissipation of m-Laplacian type
cites work: Existence and asymptotic behaviour of solutions for a class of quasi-linear evolution equations with non-linear damping and source terms
cites work: On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms
cites work: The rate at which the energy of solutions for a class of \(p\)-Laplacian wave equation decays
cites work: Global non-existence of solutions of a class of wave equations with non-linear damping and source terms
cites work: A blow-up result in a nonlinear wave equation with delay
cites work: A new result for a blow-up of solutions to a logarithmic flexible structure with second sound
cites work: Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions
cites work: Blow-up of solutions for a system of nonlocal singular viscoelastic equations
cites work: General decay for a class of viscoelastic problem with not necessarily decreasing kernel
cites work: Existence of positive solutions for a class of quasilinear singular elliptic systems involving Caffarelli-Kohn-Nirenberg exponent with sign-changing weight functions
cites work: Blow-up for a stochastic viscoelastic Lamé equation with logarithmic nonlinearity
cites work: Existence of positive solutions of nonlocal \(p(x)\)-Kirchhoff evolutionary systems via sub-super solutions concept
cites work: Some existence results for an elliptic equation of Kirchhoff‐type with changing sign data and a logarithmic nonlinearity
cites work: A well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms
cites work: Existence of positive solutions for a new class of Kirchhoff parabolic systems
cites work: Existence of positive weak solutions for a class of Kirrchoff elliptic systems with multiple parameters
cites work: Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term
cites work: Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation
cites work: General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping
cites work: Existence and multiplicity of positive weak solutions for a new class of (P; Q)-Laplacian systems
cites work: Further results of existence of positive solutions of elliptic Kirchhoff equation with general nonlinearity of source terms
cites work: Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
cites work: Blow up of coupled nonlinear Klein-Gordon system with distributed delay, strong damping, and source terms
cites work: Infinite existence solutions of fractional systems with Lipschitz nonlinearity
cites work: Wave equation with \(p(x,t)\)-Laplacian and damping term: existence and blow-up
cites work: Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources
cites work: A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities
cites work: Q3165076
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Global existence of solutions to a viscoelastic non-degenerate Kirchhoff equation
cites work: Growth of solutions for a coupled nonlinear Klein-Gordon system with strong damping, source, and distributed delay terms
description: scientific article; zbMATH DE number 7365474