Kolmogorov $\epsilon$-entropy of the uniform attractor for a wave equation

Abstract

This paper is concerned with a non-autonomous sup-cubic semilinear wave equation in a smooth bounded domain of ${\mathbb{R}}^3$, using the introduced weak topology entropy, we obtain an upper bound for the $\epsilon$-entropy of the uniform attractor for the case where the external forces are not translation-compact.

arXiv comment19 pages, no figure