Global nonexistence of solution for a nonlinear Klein-Gordon equation with strong damping, distributed delay and source terms

DOI10.1007/s13370-023-01137-6OpenAlexW4388563655MaRDI QIDQ6138939

Fares Yazid, Rafik Guefaifia, Fatima Siham Djeradi, Djamel Ouchenane

Publication date: 16 January 2024

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01137-6

zbMATH Keywords

blow-upKlein-Gordon equationdistributed delaysource termstrong damping

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Initial value problems for first-order hyperbolic systems (35L45) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
• Systems of nonlinear wave equations with damping and source terms.
• Stabilization of the wave equation with boundary or internal distributed delay.
• Blow-up of solutions of a nonlinear viscoelastic wave equation
• A blow-up result in a Cauchy viscoelastic problem
• Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
• Growth of solutions for a coupled nonlinear Klein-Gordon system with strong damping, source, and distributed delay terms
• A viscoelastic wave equation with delay and variable exponents: existence and nonexistence
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
• Exponential growth of solutions with Lp -norm of a nonlinear viscoelastic hyperbolic equation
• Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay

This page was built for publication: Global nonexistence of solution for a nonlinear Klein-Gordon equation with strong damping, distributed delay and source terms