Qian-Qian Li

activity

20242026

collaborators

6 papers

math.AP2026

Global small data radial symmetric solutions of 3D semilinear Euler-Poisson-Darboux equations

Qianqian Li, Qiao Xin, Huicheng Yin

For the 3D semilinear Euler-Poisson-Darboux equation $□ u + \frac{μ}{t} \partial_{t} u = ∣ u ∣^{p}$ , where $t \geq 1$ , $μ > 0$ and $p > 1$ , it is conjectured that there is a critical exponent $p…

math.AP2026

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations

Qianqian Li, Huicheng Yin

There is an interesting open question: for $n$ -D ( $n \geq 1$ ) semilinear Euler-Poisson-Darboux equation $\partial_{t}^{2} u - Δ u + \frac{μ}{t} \partial_{t} u = ∣ u ∣^{p}$ , where $t \geq 1$ , $p > 1$ and $μ > 0$ …

math.AP2025

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, III

Qianqian Li, Huicheng Yin

For the $2$ -D semilinear wave equation with scale-invariant damping $□ u + \frac{μ}{t} \partial_{t} u = ∣ u ∣^{p}$ , where $t \geq 1$ , $μ > 0$ and $p > 1$ , it is conjectured that the global smal…

math.AP2025

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, II

Daoyin He, Qianqian Li, Huicheng Yin

For the $2$ -D semilinear wave equation with scale-invariant damping $\partial_{t}^{2} u - Δ u + \frac{μ}{t} \partial_{t} u = ∣ u ∣^{p}$ , where $t \geq 1$ and $p > 1$ , in the paper [T. Imai, M. Kato, H. Taka…

math.AP2025

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, I

Li Qianqian, Wang Dinghuai, Yin Huicheng

There is an interesting open question: for the $n$ -D ( $n \geq 1$ ) semilinear wave equation with scale-invariant damping $\partial_{t}^{2} u - Δ u + \frac{μ}{t} \partial_{t} u = ∣ u ∣^{p}$ , where $t \geq 1$ ,…

math.AP2024

Global existence of small data weak solutions to the semilinear wave equations with time-dependent scale-invariant damping

Daoyin He, Qianqian Li, Huicheng Yin

In this paper, we are concerned with the global existence of small data weak solutions to the $n -$ dimensional semilinear wave equation $\partial_{t}^{2} u - Δ u + \frac{μ}{t} \partial_{t} u = ∣ u ∣^{p}$ …