The energy decay problem for wave equations with nonlinear dissipative terms in $\mathbb{R}^n$ Grozdena TodorovaBorislav Yordanov 35L0535L7037L15wave equationnonlinear dissipationdecay rates 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. Indiana University Mathematics Journal 2007 text pdf 10.1512/iumj.2007.56.2963 10.1512/iumj.2007.56.2963 en Indiana Univ. Math. J. 56 (2007) 389 - 416 state-of-the-art mathematics http://iumj.org/access/