Energy decay estimates for wave equations with a fractional damping
Energy decay estimates for wave equations with a fractional damping
We consider the Cauchy problem in ${\bf R}^{n}$ for wave equations with a fractional damping. We generalize partially the previous results due to[12], and derive sharp decay estimates for the total energy and the $L^{2}$-norm of solutions based on the energy method in the Fourier space.