23 citations · 24 across the 3 of their papers we have counts for
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Energy decay of a viscoelastic wave equation with supercritical nonlinearities
Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien
This paper presents a study of the asymptotic behavior of the solutions for the history value problem of a viscoelastic wave equation which features a fading memory term as well as…
Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities
Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien
We investigate a hyperbolic PDE, modeling wave propagation in viscoelastic media, under the influence of a linear memory term of Boltzmann type, and a nonlinear damping modeling fr…
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien +2
Presented here is a study of a viscoelastic wave equation with supercritical source and damping terms. We employ the theory of monotone operators and nonlinear semigroups, combined…