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

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 n...

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Veröffentlicht in:arXiv.org 2023-03
Hauptverfasser: Xiong, Yangmin, Sun, Chunyou
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422