2995-3162ISSN (Online)
Volume 1 , Issue 1 , PP: 47-55, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Murtada Ali Maqdisi 1 *
Doi: https://doi.org/10.54216/PMTCS.010104
We study under some conditions on p, m and suitable conditions on g, the decay of solutions of the nonlinear viscoelastic hyperbolic equation in problem (P) as t→+∞, with Ω is a bounded domain in R^N (N>1), with smooth boundary Γ, and a, b, w are positive constants, m≥2, P≥2, and the function g(t) satisfying some conditions. We show that the energy of solutions decays exponentially if m =2 and polynomial if m >2, provided that the initial data are small enough.
Partial Differential equation , hyperbolic equation , nonlinear , viscoelastic
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