NEW DECAY RATES FOR A PROBLEM OF PLATE DYNAMICS WITH FRACTIONAL DAMPING

DOI10.1142/S0219891613500203zbMath1277.35052MaRDI QIDQ2857736

Ryo Ikehata, Ruy Coimbra Charão, Cleverson Roberto da Luz

Publication date: 5 November 2013

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

total energyplate equationFourier spacerotational inertia

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Initial value problems for higher-order hyperbolic equations (35L30) Fractional partial differential equations (35R11)

Related Items (14)

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Cites Work

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• Decay of solutions to an inertial model for a semilinear plate equation with memory
• Decay property for a plate equation with memory-type dissipation
• Timoshenko's plate equation as a singular limit of the dynamical von Kármán system
• Wave equations with strong damping in Hilbert spaces
• DECAY ESTIMATES OF SOLUTIONS TO A SEMI-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

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