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math.AP2022
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…
math.AP2022★ 1 cited
Global Solutions with Small Initial Data to Semilinear Wave Equations with Energy Supercritical Powers
Kerun Shao, Chengbo Wang
Considering dimensional semilinear wave equations with energy supercritical powers , we obtain global solutions for any initial data with small norm in $H^{s_c}…
math.AP2022
An alternative proof of Tataru's dispersive estimates
Chengbo Wang, Xiaoran Zhang
The aim of this article is to give an alternative proof of Tataru's dispersive estimates for wave equations posed on the hyperbolic space. Based on the formula for the wave kernel…