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<p>In this paper, we obtain the estimates for solutions to fractional damped wave equations in <i>α</i>-modulation spaces using the almost orthogonality of projections and some corresponding techniques, as well as using the Bernstein multiplier theorem to obtain estimates on kernels. As an application, we obtain quantitative eatimates for the solution to the Cauchy problem of the nonlinear damped wave equation.</p>

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Estimates for Solutions to Fractional Damped Wave Equations in α-modulation Spaces

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Meizhong Wang,
  • Junyan Zhao

摘要

In this paper, we obtain the estimates for solutions to fractional damped wave equations in α-modulation spaces using the almost orthogonality of projections and some corresponding techniques, as well as using the Bernstein multiplier theorem to obtain estimates on kernels. As an application, we obtain quantitative eatimates for the solution to the Cauchy problem of the nonlinear damped wave equation.