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<p>We consider a magnetic nonlinear inhomogeneous generalized Hartree equation in two space dimensions. We develop a local theory in the energy space and we investigate the scattering versus finite time blow-up of mass-super-critical focusing solutions.</p>

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Well-Posedness and Scattering Versus Blow-up for a Hartree Equation with Aharonov-Bohm Magnetic Potential

  • 期刊论文

  • 发表日期：

    2025年6月14日

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  • Radhia Ghanmi,
  • Tarek Saanouni

摘要

We consider a magnetic nonlinear inhomogeneous generalized Hartree equation in two space dimensions. We develop a local theory in the energy space and we investigate the scattering versus finite time blow-up of mass-super-critical focusing solutions.