## Differential and Integral Equations

### Energy decay estimates for wave equations with a fractional damping

#### Abstract

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.

#### Article information

Source
Differential Integral Equations, Volume 25, Number 9/10 (2012), 939-956.

Dates
First available in Project Euclid: 20 December 2012