Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping

Details Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping

2011-09-27

arxiv.org/abs/1109.5921v1

Mathematics

Analysis of PDEs

Scientific paper

The initial boundary value problem for a system of viscoelastic wave
equations of Kirchhoff type with strong damping is considered. We prove that,
under suitable assumptions on relaxation functions and certain initial data,
the decay rate of the solutions energy is exponential.

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