General Decay Estimate of Energy for the Second Order Evolution Equations with Memory

@article{Han2010GeneralDE,
  title={General Decay Estimate of Energy for the Second Order Evolution Equations with Memory},
  author={X. Han and M. Wang},
  journal={Acta Applicandae Mathematicae},
  year={2010},
  volume={110},
  pages={195-207}
}
  • X. Han, M. Wang
  • Published 2010
  • Mathematics
  • Acta Applicandae Mathematicae
In this paper, the decay estimate of the energy of mild solutions is established for the second order evolution equations with memory. Our approach is based on the Lyapunov functional and perturbed energy method. 
22 Citations
Energy decay of dissipative plate equations with memory-type boundary conditions
  • 1
Memory-type plate system with nonlinear delay
  • 1
  • Highly Influenced
...
1
2
3
...

References

SHOWING 1-10 OF 19 REFERENCES
Decay estimates for second order evolution equations with memory
  • 129
  • Highly Influential
  • PDF
On the decay of the energy for systems with memory and indefinite dissipation
  • 57
  • PDF
General decay rate estimates for viscoelastic dissipative systems
  • 153
  • Highly Influential
General decay of solutions of a viscoelastic equation
  • 179
  • Highly Influential
General decay of the solution energy in a viscoelastic equation with a nonlinear source
  • 124
  • Highly Influential
Existence and decay of solutions of a viscoelastic equation with a nonlinear source
  • 183
  • Highly Influential
  • PDF
Asymptotic behaviour in linear viscoelasticity
  • 117
  • PDF
...
1
2
...