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20182026
most citedThe Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case

84 citations · 440 across the 50 of their papers we have counts for

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10 papers · 1 filter

math.AP2026

Sharp estimates for wave equations with non-integrable speeds

Halit Sevki Aslan, Wenhui Chen

We study the large-time behavior of the displacement for wave equations with non-integrable speeds and zero initial displacement. For initial velocities in , we derive…

math.AP2026

The critical exponent for the two-dimensional semilinear wave equation with strong damping

Wenhui Chen

In this manuscript, we determine the critical exponent for the two-dimensional semilinear wave equation with strong damping. A recent result in D'Abbicco (arXiv, 2026) gives global…

math.AP2026

Blow-up criteria and lifespan estimates for semilinear wave equations with time-dependent damping and mass

Wenhui Chen, Mohamed Ali Hamza

We consider semilinear wave equations with time-dependent damping and mass and a derivative-type nonlinearity. By applying a Liouville transformation and solving a Volterra integra…

math.AP2026

The critical exponent for the three-dimensional semilinear wave equation with strong damping

Wenhui Chen

In this manuscript, we determine the critical exponent for the three-dimensional semilinear wave equation with strong damping and thereby resolve an open problem posed in 2014. The…

math.AP2026

Semilinear damped wave equation on a compact Lie group with a non-autonomous forcing term

Wenhui Chen, Sandra Lucente, Alessandro Palmieri

In the present note, we consider a semilinear damped wave equation on a compact Lie group with a non-autonomous nonlinearity . We are interested in describing how the no…

math.AP2026

Sharp lifespan estimates for Nakao's problem in one space dimension

Wenhui Chen

In this paper, we consider Nakao's problem in one space dimension, which couples a semilinear damped wave equation with a semilinear wave equation. For compactly supported energy d…