Classification of minimal-mass blowup solutions to the mass-critical Hartree equation at the $L^2$-critical level

Zuyu Ma, Changxing Miao, Jiqiang Zheng

In this paper, we study the focusing mass-critical Hartree equation \[ iu_t+Δu=-\bigl(|x|^{-2}*|u|^2\bigr)u \] at the ground-state mass $M(Q)$. We prove that, up to the symmetries…