Abstract
Of concern is the energy decay property of solutions to wave equations with time-dependent damping. A reasonable class of damping coefficients for the framework of weighted energy methods is proposed, which contains not only the model of “effective” damping (1+t)^{-beta }(-1le beta <1), but also non-differentiable functions with a suitable behavior at trightarrow infty . As an application of the weighted energy estimate, global existence for the corresponding semilinear wave equation is discussed.
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