Optimal energy decay rate for a class of weakly dissipative second-order systems with memory

DOI10.1016/j.aml.2010.02.016zbMath1219.93107OpenAlexW2070602001MaRDI QIDQ975268

Maria Grazia Naso, Jaime Edilberto Muñoz Rivera

Publication date: 9 June 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.02.016

zbMATH Keywords

semigroupsasymptotic stabilitymaterials with memory

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25)

Related Items (15)

Long-time stabilization of solutions to a nonautonomous semilinear viscoelastic equation ⋮ Stabilization by memory effects: Kirchhoff plate versus Euler-Bernoulli plate ⋮ Exact decay rates for weakly coupled systems with indirect damping by fractional memory effects ⋮ Lack of exponential decay of a coupled system of wave equations with memory ⋮ Indirect stabilization of a coupled system by memory effects ⋮ A quantitative Riemann-Lebesgue lemma with application to equations with memory ⋮ General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions ⋮ Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory ⋮ General stability of abstract thermoelastic system with infinite memory and delay ⋮ Asymptotic behavior for coupled abstract evolution equations with one infinite memory ⋮ Asymptotic stability of abstract dissipative systems with infinite memory ⋮ Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory ⋮ Stability results for a Timoshenko system with a fractional operator in the memory ⋮ The long-time stability of solutions for intermittently controlled viscoelastic wave equations with memory terms ⋮ General decay rate of a weakly dissipative viscoelastic equation with a general damping

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
• Characterization of polynomial decay rate for the solution of linear evolution equation
• Asymptotic stability in viscoelasticity
• Asymptotic behaviour of the energy for electromagnetic systems with memory
• ENERGY DECAY OF ELECTROMAGNETIC SYSTEMS WITH MEMORY

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