Daoyin He

collaborators

4 papers

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…

math.AP2018

On semilinear Tricomi equations in one space dimension

Daoyin He, Ingo Witt, Huicheng Yin

For 1-D semilinear Tricomi equation $\partial_{t}^{2} u - t \partial_{x}^{2} u = ∣ u ∣^{p}$ with initial data $(u (0, x), \partial_{t} u (0, x))$ $= (u_{0} (x), u_{1} (x))$ , where $t \geq 0$ , $x \in R$ , $p>…

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

On semilinear Tricomi equations in one space dimension

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