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 JAMP  Vol.2 No.8 , July 2014
Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations
Hongyan Li*
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Abstract: In this paper, we study the existence of exponential attractors for strongly damped wave equations with a time-dependent driving force. To this end, the uniform H?lder continuity is established to the variation of the process in the phase apace. In a certain parameter region, the exponential attractor is a uniformly exponentially attracting time-dependent set in the phase apace, and is finite-dimensional no matter how complex the dependence of the external forces on time is. On this basis, we also obtain the existence of the infinite-dimensional uniform exponential attractor for the system.
Keywords: Exponential Attractor, Uniform Attractor, Strongly Damped Wave Equation
Cite this paper: Li, H. (2014) Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations. Journal of Applied Mathematics and Physics, 2, 783-794. doi: 10.4236/jamp.2014.28086.
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