Bounds for blow-up time to a viscoelastic hyperbolic equation of Kirchhoff type with variable sources
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Publication:829606
DOI10.1007/s10440-020-00357-3zbMath1462.35094OpenAlexW3084215194WikidataQ115605517 ScholiaQ115605517MaRDI QIDQ829606
Menglan Liao, Bin Guo, Xiang-yu Zhu
Publication date: 6 May 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-020-00357-3
Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear constitutive equations for materials with memory (74D10) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)
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Cites Work
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- A lower bound for the blow-up time to a viscoelastic hyperbolic equation with nonlinear sources
- Global nonexistence of positive initial energy solutions for a viscoelastic wave equation
- Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
- Blow-up of positive-initial-energy solutions for an integro-differential equation with nonlinear damping
- Blow up of arbitrarily positive initial energy solutions for a viscoelastic wave equation
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Nonlinear damped wave equation: existence and blow-up
- Global nonexistence theorems for a class of evolution equations with dissipation
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Lower bounds for the blow-up time in a superlinear hyperbolic equation with linear damping term
- A lower bound for the blow-up time to a damped semilinear wave equation
- Singular phenomena of solutions for nonlinear diffusion equations involving \(p(x)\)-Laplace operator and nonlinear sources
- On global existence and blow-up of solutions for an integro-differential equation with strong damping
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Some remarks on the wave equations with nonlinear damping and source terms
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
