On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term

DOI10.1080/00036811.2015.1026335zbMath1336.35060OpenAlexW2093631156WikidataQ58299039 ScholiaQ58299039MaRDI QIDQ2795619

Nasser-eddine Tatar, Mohammad M. Kafini

Publication date: 21 March 2016

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

Full work available at URL: https://doi.org/10.1080/00036811.2015.1026335

zbMATH Keywords

polynomial decaymemory term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

On the stabilization of a non-dissipative Cauchy viscoelastic problem

Cites Work

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• Uniform boundedness and stability for a viscoelastic problem
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Equipartition of energy in linearized 3-D viscoelasticity
• The energy decay problem for wave equations with nonlinear dissipative terms in $\mathbb{R}^n$
• Exponential decay for a quasilinear viscoelastic equation
• A Model Equation for Viscoelasticity with a Strongly Singular Kernel
• Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation

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