Decay rate of solutions to the Cauchy problem for a coupled system of a viscoelastic wave equations with a strong delay in Rⁿ
DOI:
https://doi.org/10.24193/subbmath.2023.4.16Keywords:
Lyapunov function, relaxation function, density, decay rate, weighted spaces.Abstract
Using weighted spaces, we establish a general decay rate properties of solutions as T→∞ for a coupled system of a viscoelastic wave equations in Rn under some conditions on g1, g2, ϕ. We exploit a density function to introduce weighted spaces for solutions and using an appropriate Lyapunov function.
Mathematics Subject Classification (2010): 35L05, 35L15, 35L70, 35B40.
Received 19 October 2020; Accepted 10 November 2020. Published Online: 2023-12-11 Published Print: 2023-12-30
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