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arXiv · 1810.03149

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

Anton Savostianov·Sergey Zelik
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Abstract

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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Anton Savostianov, Sergey Zelik. 2018-10-07. Uniform attractors for measure-driven quintic wave equation with periodic boundary conditions. https://arxiv.org/abs/1810.03149

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