Geodesic
Uniform attractors for measure-driven quintic wave equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 2, pp. 253-320

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This is a detailed study of damped quintic wave equations with non-regular and non-autonomous external forces which are measures in time. In the 3D case with periodic boundary conditions, uniform energy-to-Strichartz estimates are established for the solutions, the existence of uniform attractors in a weak or strong topology in the energy phase space is proved, and their additional regularity is studied along with the possibility of representing them as the union of all complete bounded trajectories. Bibliography: 45 titles.
Keywords: quintic wave equations, vector measures, Strichartz estimates, uniform attractors, smoothness. 
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A. K. Savostianov; S. V. Zelik. Uniform attractors for measure-driven quintic wave equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 2, pp. 253-320. http://geodesic.mathdoc.fr/item/RM_2020_75_2_a1/