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In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain ofℝ    3    . The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent extension of the Strichartz estimate for the case of a bounded domain. The results obtained complete some previous works.

Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations