Energy of all solutions to the 1D Klein-Gordon equation with Kelvin-Voigt damping converges to zero, with optimal polynomial decay rates shown for certain solutions.
Batty and Thomas Duyckaerts,Non-uniform stability for bounded semi- groups on Banach spaces, J
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Optimal energy decay rates for Klein-Gordon equations with Kelvin-Voigt damping
Energy of all solutions to the 1D Klein-Gordon equation with Kelvin-Voigt damping converges to zero, with optimal polynomial decay rates shown for certain solutions.