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

2018/10/07 by Anton Savostianov, Savostianov, Anton, Sergey Zelik +1 · 1 citation
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1810.03149

Abstract

We give a detailed study of attractors for measure driven quintic damped wave\nequations with periodic boundary conditions. This includes uniform\nenergy-to-Strichartz estimates, the existence of uniform attractors in a weak\nor strong topology in the energy phase space, the possibility to present them\nas a union of all complete trajectories, further regularity, etc.\n

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