Daoyin He

activity

20152025

most citedOn semilinear Tricomi equations in one space dimension

5 citations · 9 across the 8 of their papers we have counts for

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math.AP2025

Morawetz type estimate for damped wave equation in $R^{n} (n \geq 4)$ and its application

Daoyin He, Ning-An Lai

In this paper we establish a Morawetz type etimate for the linear inhomogeneous wave equation with time-dependent scale invariant damping in $R^{n} (n \geq 4)$ . The novelty i…

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 existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping

Daoyin He, Yaqing Sun, Kangqun Zhang

In this paper we prove a sharp global existence result for semilinear wave equations with time-dependent scale-invariant damping terms if the initial data is small. More specifical…

Morawetz type estimate for damped wave equation in Rn(n≥4) and its application

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

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping

Morawetz type estimate for damped wave equation in $R^{n} (n \geq 4)$ and its application