Abstract
This paper is devoted to the asymptotic behavior of the semi-linear strongly damped wave equation with forcing term only belongs to $H^{-1}$. Some refined decompositions of the solution have been presented, 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 the usual assumptions.
Citation
Yunlong Du. Xin Li. Chunyou Sun. "On the asymptotic behavior of strongly damped wave equations." Topol. Methods Nonlinear Anal. 44 (1) 161 - 175, 2014.
Information