On the asymptotic behavior of strongly damped wave equations
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Asymptotic regularity, strongly damped wave equation, quasi-monotone condition, exponential attractorAbstrakt
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.Pobrania
Opublikowane
2016-04-12
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1.
DU, Yunlong, LI, Xin & SUN, Chunyou. On the asymptotic behavior of strongly damped wave equations. Topological Methods in Nonlinear Analysis [online]. 12 kwiecień 2016, T. 44, nr 1, s. 161–175. [udostępniono 22.7.2024].
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