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math.AP2018
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…
math.AP2018★ 3 cited
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…
math.AP2018
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…