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<p>In this paper, we present the soliton resolution for the energy-critical wave equation with an inverse square potential in the radial case and all dimensions <i>N</i> ⩾ 3. A crucial ingredient of our analysis involves the energy channel for the linearized wave equation with inverse square potentials, which incorporates the distorted Hankel transform.</p>

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Soliton resolution for the energy-critical wave equation with an inverse-square potential in the radial case

  • 期刊论文

  • 发表日期：

    2025年1月21日

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  • Xuanying Li,
  • Changxing Miao,
  • Lifeng Zhao

摘要

In this paper, we present the soliton resolution for the energy-critical wave equation with an inverse square potential in the radial case and all dimensions N ⩾ 3. A crucial ingredient of our analysis involves the energy channel for the linearized wave equation with inverse square potentials, which incorporates the distorted Hankel transform.