Manli Song

activity

20142026

most citedA functional calculus and restriction theorem on H-type groups

4 citations · 7 across the 10 of their papers we have counts for

collaborators

Showing 2026 · math.APShow all

2 papers · 2 filters

math.AP2026

Decay estimates for a class of dispersive equations with partial inverse-square potentials

Jiabin Qian, Manli Song

Let $L_{a} = - Δ_{x} - Δ_{y} + \frac{a}{2} ∣ x ∣^{- 2}$ with $a > 0$ denote the Schrödinger operator on $L^{2} (R_{x}^{2} \times R_{y}^{n})$ , which involves a singular partial inverse…

math.AP2026

Dispersive decay for the mass-critical Schödinger equation when $d \geq 3$

Jiabin Qian, Manli Song

In this paper we establish the pointwise-in-time dispersive decay for solutions to the mass-critical nonlinear Schrödinger equation in spatial dimensions $d \geq 3$ . Our argument rel…

Decay estimates for a class of dispersive equations with partial inverse-square potentials

Dispersive decay for the mass-critical Schödinger equation when d≥3

Dispersive decay for the mass-critical Schödinger equation when $d \geq 3$