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arxiv: 1810.03149 · v1 · pith:U3DBFJUSnew · submitted 2018-10-07 · 🧮 math.AP

Uniform attractors for measure-driven quintic wave equation with periodic boundary conditions

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keywords attractorsuniformboundaryconditionsperiodicquinticwavecomplete
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We give a detailed study of attractors for measure driven quintic damped wave equations with periodic boundary conditions. This includes uniform energy-to-Strichartz estimates, the existence of uniform attractors in a weak or strong topology in the energy phase space, the possibility to present them as a union of all complete trajectories, further regularity, etc.

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