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<p>This paper is concerned with blowup dynamics of the focusing energy-critical Hartree equation in dimensions five and higher. We prove that if the kinetic energy of a blowup solution is bounded, it must concentrate at least the kinetic energy of the ground state as time goes to the blowup time. Finally, we also show that the finite time blowup solution has a limit in some suitable spaces.</p>

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Blowup Dynamics of the Focusing Energy-critical Hartree Equation

  • 期刊论文

  • 发表日期：

    2025年11月6日

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  • Yang-yang Wang,
  • Juan Huang,
  • Sheng Wang

摘要

This paper is concerned with blowup dynamics of the focusing energy-critical Hartree equation in dimensions five and higher. We prove that if the kinetic energy of a blowup solution is bounded, it must concentrate at least the kinetic energy of the ground state as time goes to the blowup time. Finally, we also show that the finite time blowup solution has a limit in some suitable spaces.