Geodesic
Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
Mathematica Bohemica, Tome 145 (2020) no. 2, pp. 205-223

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We study the existence of global in time and uniform decay of weak solutions to the initial-boundary value problem related to the dynamic behavior of evolution equation accounting for rotational inertial forces along with a linear nonlocal frictional damping arises in viscoelastic materials. By constructing appropriate Lyapunov functional, we show the solution converges to the equilibrium state polynomially in the energy space.
DOI : 10.21136/MB.2019.0054-18
Classification : 35B33, 47J35
Keywords: global existence; uniqueness; uniform stabilization 
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Berbiche, Mohamed. Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation. Mathematica Bohemica, Tome 145 (2020) no. 2, pp. 205-223. doi: 10.21136/MB.2019.0054-18

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