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Daoyin He

4 papers hereh-index 6150 citations17 works total

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  • first author4

Across the 4 of 4 papers where every author was matched, so the position is known.

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  • math.AP4

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4 papers

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 ∂t2​u−I^”u+¼I^​t∂t​u=∣u∣p, where t≥1 and p>1, in the paper [T. Imai, M. Kato, H. Ta…

math.AP2025

Morawetz type estimate for damped wave equation in Rn(n≥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 Rn(n≥4). The novelty i…

math.AP2025

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^2u-Δu+\fracμ{t}\partial_tu=|u|^…

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…

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