New estimates of solution to coupled system of damped wave equations with logarithmic external forces

DOI10.1155/2021/9924504zbMath1464.35022OpenAlexW3156103457MaRDI QIDQ2025758

Khaled Zennir, Loay Alkhalifa

Publication date: 17 May 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/9924504

zbMATH Keywords

Lyapunov functionalcoupled damped wave equationslogarithmic sources

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Cites Work

• New general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
• Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
• Logarithmic Sobolev Inequalities
• Équations d'évolution avec non linéarité logarithmique
• GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS
• A sharper decay rate for a viscoelastic wave equation with power nonlinearity
• Global existence and blow-up results for an equation of Kirchhoff type on \(\mathbb{R}^N\)
• Global existence and blow-up results for some nonlinear wave equations on \(\mathbb{R}^N\)

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