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arXiv · 2303.02991

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

Yangmin Xiong·Chunyou Sun
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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 $\varepsilon$-entropy of the uniform attractor for the case where the external forces are not translation-compact.

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Yangmin Xiong, Chunyou Sun. 2023-03-06. Kolmogorov $\varepsilon$-entropy of the uniform attractor for a wave equation. https://arxiv.org/abs/2303.02991

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