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<p>We consider a class of the focusing intercritical inhomogeneous nonlinear Schrödinger equation with inverse-square potential. For the radial symmetry initial data, we first prove a universal upper bound on the blowup rate and then show that this bound is sharp by constructing the collapsing ring blowup solutions. The main difficulty comes from the absence of translation invariance and Galilean transformation.</p>

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Sharp blowup result for the inhomogeneous NLS equation with inverse-square potential

  • 期刊论文

  • 发表日期：

    2025年6月8日

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  • Zhiyuan Cui,
  • Yuan Li

摘要

We consider a class of the focusing intercritical inhomogeneous nonlinear Schrödinger equation with inverse-square potential. For the radial symmetry initial data, we first prove a universal upper bound on the blowup rate and then show that this bound is sharp by constructing the collapsing ring blowup solutions. The main difficulty comes from the absence of translation invariance and Galilean transformation.