Exponential stability of two coupled second-order evolution equations

DOI10.1155/2011/879649zbMath1222.93201OpenAlexW1978330660WikidataQ59253493 ScholiaQ59253493MaRDI QIDQ623617

Qian Wan, Ti-Jun Xiao

Publication date: 8 February 2011

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223267

zbMATH Keywords

multiplier techniquepartial differential equationstwo coupled second-order evolution equations

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25) PDEs in connection with control and optimization (35Q93)

Related Items (4)

Asymptotic behavior for coupled systems of second order abstract evolution equations with one infinite memory ⋮ Stabilization by memory effects: Kirchhoff plate versus Euler-Bernoulli plate ⋮ Stability of a class of coupled systems ⋮ Indirect stabilization on Kirchhoff plates by memory effects

Cites Work

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• The Cauchy problem for higher-order abstract differential equations
• Energy decay for Timoshenko systems of memory type.
• A general method for proving sharp energy decay rates for memory-dissipative evolution equations
• Decay estimates for second order evolution equations with memory
• An abstract Volterra equation with applications to linear viscoelasticity

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