Uniform attractors for measure-driven quintic wave equations

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Abstract

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.

About the authors

Anton Konstantinovich Savostianov

Uppsala University

Email: anton.savostianov@math.uu.se

Sergey Vital'evich Zelik

University of Surrey; Lanzhou University; Keldysh Institute of Applied Mathematics of Russian Academy of Sciences

Email: s.zelik@surrey.ac.uk
Doctor of physico-mathematical sciences, Senior Researcher

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