Abstract
We study the asymptotic behavior of solutions of dissipative wave equations with space–time-dependent potential. When the potential is only time-dependent, Fourier analysis is a useful tool to derive sharp decay estimates for solutions. When the potential is only space-dependent, a powerful technique has been developed by Todorova and Yordanov to capture the exact decay of solutions. The presence of a space–time-dependent potential, as in our case, requires modifications of this technique. We find the energy decay and decay of the L2 norm of solutions in the case of space–time-dependent potential. Copyright © 2010 John Wiley & Sons, Ltd.
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