Title: The energy decay problem for wave equations with nonlinear dissipative terms in $\mathbb{R}^n$

Authors: Grozdena Todorova and Borislav Yordanov

Issue: Volume 56 (2007), Issue 1, 389-416

Abstract: We study the asymptotic behavior of energy for wave equations with nonlinear damping $g(u_t) = |u_t|^{m-1}u_t$ in $\mathbb{R}^n$ ($n \geq 3$) as time $t \to \infty$. The main result shows a polynomial decay rate of energy under the condition $1 < m \leq (n+2)/(n+1)$. Previously, only logarithmic decay rates were found.