Global existence and energy decay of solutions to a coupled wave and Petrovsky system with nonlinear dissipations and source terms

DOI10.1007/s00009-020-1497-5zbMath1439.35321OpenAlexW3006756576MaRDI QIDQ2178612

Mounir Bahlil, Baowei Feng

Publication date: 11 May 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-1497-5

zbMATH Keywords

decay rateintegral inequalitiesmultiplier methodnonlinear sourcegeneral nonlinear dissipation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Degenerate hyperbolic equations (35L80) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (1)

Global well-posedness and exponential decay of fully dynamic and electrostatic or quasi-static piezoelectric beams subject to a neutral delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms
• Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
• Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
• Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source
• Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• New integral inequalities and applications to stabilization of nondissipative distributed systems
• Decay rates for dissipative wave equations
• Energy decay for a damped nonlinear coupled system
• Decay rates for solutions of a Maxwell system with nonlinear boundary damping
• Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
• Mathematical Control Theory of Coupled PDEs
• A new method to obtain decay rate estimates for dissipative systems

This page was built for publication: Global existence and energy decay of solutions to a coupled wave and Petrovsky system with nonlinear dissipations and source terms