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<p>This paper is dedicated to studying a class of fractional <i>p</i>-Laplacian wave equations involving damping term and logarithmic source. We prove the local existence of weak solutions by Galerkin method. Based on the framework of potential well and Nehari manifold, we derive a polynomial decay estimate for global weak solutions. Finally, we establish the finite time blow-up result.</p>

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Decay estimate and blow-up for fractional p-Laplacian wave equations involving damping and logarithmic source

  • 期刊论文

  • 发表日期：

    2026年3月21日

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  • Xiulan Wu,
  • Junhao You

摘要

This paper is dedicated to studying a class of fractional p-Laplacian wave equations involving damping term and logarithmic source. We prove the local existence of weak solutions by Galerkin method. Based on the framework of potential well and Nehari manifold, we derive a polynomial decay estimate for global weak solutions. Finally, we establish the finite time blow-up result.