AI 中文总结
针对非相对论 regime下的拟相对论Hartree方程，通过将欧拉-拉格朗日方程与质量约束构建含拉格朗日乘子的增广系统，利用增广线性化的可逆性，给出基态唯一性的新证明。
AI 中文摘要
我们针对非相对论 regime下的拟相对论Hartree方程，给出了基态唯一性的新证明。该证明将欧拉-拉格朗日方程与质量约束视为单一增广系统，把拉格朗日乘子作为额外未知量，关键在于非相对论基态处增广线性化的可逆性。
英文摘要
We present a new proof of the uniqueness of ground states for the pseudo-relativistic Hartree equation in the non-relativistic regime. The proof treats the Euler-Lagrange equation and the mass constraint as a single augmented system, with the Lagrange multiplier as an additional unknown. The key point is the invertibility of the augmented linearization at the non-relativistic ground state.
