3 citations · 6 across the 8 of their papers we have counts for
10 papers
Blow-up for semilinear wave equations with damping and potential in high dimensional Schwarzschild spacetime
Mengliang Liu, Mengyun Liu
In this work, we study the blow up results to power-type semilinear wave equation in the high dimensional Schwarzschild spacetime, with damping and potential terms. We can obtain t…
Blow-up for semilinear wave equations on Kerr black hole backgrounds
Mengyun Liu, Chengbo Wang
We examine solutions to semilinear wave equations on black hole backgrounds and give a proof of an analog of the blow up part of the John theorem, with , on the Sch…
Lifespan estimates for wave equations with damping and potential posed on asymptotically Euclidean manifolds
Mengyun Liu
In this work, we investigate the problem of finite time blow up as well as the upper bound estimates of lifespan for solutions to small-amplitude semilinear wave equations with tim…
Lifespan estimates for semilinear wave equations with space dependent damping and potential
Ning-An Lai, Mengyun Liu, Ziheng Tu +1
In this work, we investigate the influence of general damping and potential terms on the blow-up and lifespan estimates for energy solutions to power-type semilinear wave equations…
Lifespan estimates for -dimensional semilinear wave equations in asymptotically Euclidean exterior domains
Ning-An Lai, Mengyun Liu, Kyouhei Wakasa +1
In this paper we study the initial boundary value problem for two-dimensional semilinear wave equations with small data, in asymptotically Euclidean exterior domains. We prove that…
Blow up for small-amplitude semilinear wave equations with mixed nonlinearities on asymptotically Euclidean manifolds
Mengyun Liu, Chengbo Wang
In this work, we investigate the problem of finite time blow up as well as the upper bound estimates of lifespan for solutions to small-amplitude semilinear wave equations with mix…
The blow up of solutions to semilinear wave equations on asymptotically Euclidean manifolds
Mengyun Liu, Chengbo Wang
In this paper, we investigate the problem of blow up and sharp upper bound estimates of the lifespan for the solutions to the semilinear wave equations, posed on asymptotically Euc…
Concerning ill-posedness for semilinear wave equations
Mengyun Liu, Chengbo Wang
In this paper, we investigate the problem of optimal regularity for derivative semilinear wave equations to be locally well-posed in with spatial dimension . We s…
Global existence for semilinear damped wave equations in relation with the Strauss conjecture
Mengyun Liu, Chengbo Wang
We study the global existence of solutions to semilinear wave equations with power-type nonlinearity and general lower order terms on dimensional nontrapping asymptotically Euc…
Global existence for the 3-D semilinear damped wave equations in the scattering case
Yige Bai, Mengyun Liu
We study the global existence of solutions to semilinear damped wave equations in the scattering case with derivative power-type nonlinearity on (1+3) dimensional nontrapping asymp…