Time-dependent attractor of wave equations with nonlinear damping and linear memory
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Abstract In this article, we consider the long-time behavior of solutions for the wave equation with nonlinear damping and linear memory. Within the theory of process on time-dependent spaces, we verify the process is asymptotically compact by using the contractive functions method, and then obtain the existence of the time-dependent attractor in $\begin{array}{} H^{1}_0({\it\Omega})\times L^{2}({\it\Omega})\times L^{2}_{\mu}(\mathbb{R}^{+};H^{1}_0({\it\Omega})) \end{array}$.
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2001 ◽
Vol 6
(2)
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pp. 107-110
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2008 ◽
Vol 195
(912)
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pp. 0-0
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1998 ◽
Vol 147
(2)
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pp. 231-241
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2017 ◽
Vol 21
(1)
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pp. 107-129
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2001 ◽
Vol 6
(2)
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pp. 102-106
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