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<p>We establish the existence of a time-dependent exponential smooth attractor for a weakly damped wave equations with sup-cubic nonlinearity and hereditary effects in a 3D bounded domain. Our methods are mainly based on the recent extension of Strichartz estimates to the case of bounded domains, a more general criterion constructed by the quasi-stable technique and the standard bootstrapping technique.</p>

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Smooth dynamics of a sup-cubic wave equation with delays

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月7日

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  • Hongfang Li,
  • Qi Jia,
  • Feng Zhou,
  • Kaixuan Zhu,
  • Xin Li

摘要

We establish the existence of a time-dependent exponential smooth attractor for a weakly damped wave equations with sup-cubic nonlinearity and hereditary effects in a 3D bounded domain. Our methods are mainly based on the recent extension of Strichartz estimates to the case of bounded domains, a more general criterion constructed by the quasi-stable technique and the standard bootstrapping technique.