Decay property for solutions to plate type equations with variable coefficients

DOI10.3934/krm.2017031zbMath1357.35047OpenAlexW2561346279MaRDI QIDQ503011

Yongqin Liu, Shikuan Mao

Publication date: 11 January 2017

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2017031

zbMATH Keywords

memoryregularity-loss typepointwise estimate in the spectral space

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (6)

Decay estimate and global existence of semilinear thermoelastic Timoshenko system with two damping effects ⋮ A general decay result for the Cauchy problem of a fractional Laplace viscoelastic equation ⋮ Well-posedness and decay property for the Cauchy problem of the standard linear solid model with thermoelasticity of type III ⋮ On the Cauchy problem for semilinear regularity-loss-type \(\sigma \)-evolution models with memory term ⋮ Decay estimate and asymptotic profile for a plate equation with memory ⋮ Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin–Pipkin thermal law

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Decay of solutions to an inertial model for a semilinear plate equation with memory
• Global existence and minimal decay regularity for the Timoshenko system: the case of non-equal wave speeds
• Decay property for a plate equation with memory-type dissipation
• Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Decay property for second order hyperbolic systems of viscoelastic materials
• Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
• Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds
• Decay of solutions to generalized plate type equations with memory
• Energy decay rates for the Timoshenko system of thermoelastic plates
• Decay property of the Timoshenko–Cattaneo system
• DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION
• GLOBAL EXISTENCE AND DECAY OF SOLUTIONS FOR A QUASI-LINEAR DISSIPATIVE PLATE EQUATION
• ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND APPLICATION TO SOME NONLINEAR HYPERBOLIC–ELLIPTIC SYSTEM
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM
• On a thermoelastic plate equation in an exterior domain
• DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH FOURIER'S TYPE HEAT CONDUCTION

This page was built for publication: Decay property for solutions to plate type equations with variable coefficients