### On the asymptotic behavior of strongly damped wave equations

#### 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.

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.

#### Keywords

Asymptotic regularity; strongly damped wave equation; quasi-monotone condition; exponential attractor

#### Full Text:

FULL TEXT### Refbacks

- There are currently no refbacks.