On the asymptotic behavior of strongly damped wave equations
2016
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.
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