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<p>Dynamic properties of the normalized ground states for defocusing nonlinear Schrödinger equation with harmonic potential are addressed. Existence of the normalized ground states for any prescribed mass is confirmed according to mass-energy constrained variational approach. The uniqueness is shown by solving the convex minimization problem. Moreover, orbital stability of every normalized ground state is proven in terms of Cazenave and Lions’ argument.</p>

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Uniqueness and stability of normalized ground states for defocusing NLS equation with harmonic potential

  • 期刊论文

  • 发表日期：

    2026年4月20日

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  • Chenglin Wang,
  • Jian Zhang,
  • Shihui Zhu

摘要

Dynamic properties of the normalized ground states for defocusing nonlinear Schrödinger equation with harmonic potential are addressed. Existence of the normalized ground states for any prescribed mass is confirmed according to mass-energy constrained variational approach. The uniqueness is shown by solving the convex minimization problem. Moreover, orbital stability of every normalized ground state is proven in terms of Cazenave and Lions’ argument.