Global existence, uniqueness and asymptotic behavior for a nonlinear viscoelastic problem with internal damping and logarithmic source term

DOI10.7153/DEA-2023-15-20OpenAlexW4389961853MaRDI QIDQ6122953

No author found.

Publication date: 4 March 2024

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2023-15-20

zbMATH Keywords

global existenceexponential growthexponential decaynonlinear viscoelastic equationlogarithmic source

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects
• Characteristic values associated with a class of nonlinear second-order differential equations
• Decay rates for viscoelastic plates with memory
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• Global existence of solutions for the viscoelastic Kirchhoff equation with logarithmic source terms
• Dual variational methods in critical point theory and applications
• Global existence and asymptotic behavior of solutions for a class of nonlinear degenerate wave equations
• Asymptotic stability in viscoelasticity
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
• On a Class of Nonlinear Second-Order Differential Equations
• Logarithmic Sobolev Inequalities
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Blow up and global existence in a nonlinear viscoelastic wave equation
• Global existence and uniform stability of solutions for a quasilinear viscoelastic problem

This page was built for publication: Global existence, uniqueness and asymptotic behavior for a nonlinear viscoelastic problem with internal damping and logarithmic source term