TY - JOUR AU - Du, Yunlong AU - Li, Xin AU - Sun, Chunyou PY - 2016/04/12 Y2 - 2024/03/29 TI - On the asymptotic behavior of strongly damped wave equations JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 44 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2014.041 SP - 161 - 175 AB - This paper is devoted to the asymptotic behavior of the semi-linearstrongly damped wave equation with forcing term only belongs to $H^{-1}$. Some refined decompositions of the solution have beenpresented, which allow to remove the quasi-monotone condition$f'(s)> -k$. The asymptotic regularity and existence of a finite-dimensional exponential attractor are established under theusual assumptions. ER -