Abstract
A linear viscoelastic wave equation with density and time delay in the whole space $\mathbb{R}^n$ ($n \geq 3$) is considered. In order to overcome the difficulties in the non-compactness of some operators, we introduce some weighted spaces. Under suitable assumptions on the relaxation function, we establish a general decay result of solution for the initial value problem by using energy perturbation method. Our result extends earlier results.
Citation
Baowei Feng. "General Decay for a Viscoelastic Wave Equation with Density and Time Delay Term in $\mathbb{R}^n$." Taiwanese J. Math. 22 (1) 205 - 223, February, 2018. https://doi.org/10.11650/tjm/8105
Information