Abstract
We derive a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with a nonlinear dissipation $ \rho (u_{t}) $, where $ \rho (v) $ is a function like $ v/\sqrt{ 1+v^{2}}$. Since our dissipation is weak as $\vert u_{t}\vert $ tends to $ \infty $ we treat strong solutions rather than usual energy finite solutions.
Citation
Mitsuhiro Nakao. "Energy decay for the wave equation with a nonlinear weak dissipation." Differential Integral Equations 8 (3) 681 - 688, 1995. https://doi.org/10.57262/die/1369316515
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