Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations

Cuncai Liu, Fengjuan Meng, Chang Zhang and Ali Jaballah

Journal of Mathematics, 2020, vol. 2020, 1-6

Abstract: In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of â„ 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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6293746

DOI: 10.1155/2020/6293746

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