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Attractors for semilinear wave equations with localized damping and external forces
Communications on Pure and Applied Analysis
This paper is concerned with long-time dynamics of semilinear wave equations defined on bounded domains of R 3 with cubic nonlinear terms and locally distributed damping. The existence of regular finite-dimensional global attractors established by Chueshov, Lasiecka and Toundykov (2008) reflects a good deal of the current state of the art on this matter. Our contribution is threefold. First, we prove uniform boundedness of attractors with respect to a forcing parameter. Then, we study thedoi:10.3934/cpaa.2020097 fatcat:24zuuh4otndgnjgptfgy5sm5hu