General and optimal decay rates for a viscoelastic wave equation with strong damping

Qian Li; Qian Li

doi:10.3934/math.20221006

AIMS Mathematics

2022, Volume 7, Issue 10: 18282-18296. doi: 10.3934/math.20221006

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General and optimal decay rates for a viscoelastic wave equation with strong damping

Qian Li ^,

Department of Mathematics, Changzhi University, Changzhi 046011, China

Received: 26 May 2022 Revised: 03 August 2022 Accepted: 09 August 2022 Published: 12 August 2022
MSC : 35L05, 35L20

This work is devoted to investigating the decay properties for a nonlinear viscoelastic wave equation with strong damping. Under certain class of relaxation functions and initial data and using the perturbed energy method, we obtain general and optimal decay results.
- viscoelastic wave equation,
- strong damping,
- Lyapunov function,
- decay
Citation: Qian Li. General and optimal decay rates for a viscoelastic wave equation with strong damping[J]. AIMS Mathematics, 2022, 7(10): 18282-18296. doi: 10.3934/math.20221006

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Abstract

This work is devoted to investigating the decay properties for a nonlinear viscoelastic wave equation with strong damping. Under certain class of relaxation functions and initial data and using the perturbed energy method, we obtain general and optimal decay results.

References

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