Global existence of solutions to a viscoelastic non-degenerate Kirchhoff equation

DOI10.1080/00036811.2018.1544621zbMath1458.35255OpenAlexW2901669300MaRDI QIDQ5147278

Nadia Mezouar, Salah Mahmoud Boulaaras

Publication date: 3 February 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1544621

zbMATH Keywords

convexityglobal existencedelay termFaedo-Galerkin methodgeneral decayiscoelastic term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Linear constitutive equations for materials with memory (74D05) Convexity of real functions in one variable, generalizations (26A51) Abstract hyperbolic equations (35L90) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (8)

Global existence and exponential decay of solutions for generalized coupled non-degenerate Kirchhoff system with a time varying delay term ⋮ Blow-up of solutions for a quasilinear system with degenerate damping terms ⋮ Global existence of solutions for the viscoelastic Kirchhoff equation with logarithmic source terms ⋮ Existence of positive solutions of a new class of nonlocal \(p(x)\)-Kirchhoff parabolic systems via sub-super-solutions concept ⋮ Elastic membrane equation with dynamic boundary conditions and infinite memory ⋮ On the system of coupled nondegenerate Kirchhoff equations with distributed delay: global existence and exponential decay ⋮ Blow-up of solutions for a class quasilinear wave equation with nonlinearity variable exponents ⋮ Existence of positive solutions for a class of \(\left(p \left(x\right), q \left(x\right)\right)\)-Laplacian elliptic systems with multiplication of two separate functions

Cites Work

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• Asymptotic behavior for a viscoelastic wave equation with a delay term
• Existence and asymptotic stability of a viscoelastic wave equation with a delay
• Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
• Stabilization of wave and plate-like equations with nonlinear dissipation on the boundary
• Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Decay rates for dissipative wave equations
• Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
• ASYMPTIOTIC BEHAVIOR FOR THE VISCOELASTIC KIRCHHOFF TYPE EQUATION WITH AN INTERNAL TIME-VARYING DELAY TERM
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Energy decay of solutions for a wave equation with a constant weak delay and a weak internal feedback
• Global existence and uniform decay for a nonlinear viscoelastic equation with damping
• Global existence and uniform decay for a nonlinear viscoelastic equation with damping

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