97 citations · 621 across the 41 of their papers we have counts for
43 papers
Global existence for quasilinear wave equations on hyperbolic space
Wei Dai, Chengbo Wang
The main purpose of this paper is to study the global solvability for a general class of quasilinear shifted wave equations on hyperbolic spaces, for smooth initial data with small…
Blow-up of solutions to semilinear wave equations with spatial derivatives
Kerun Shao, Hiroyuki Takamura, Chengbo Wang
For small-amplitude semilinear wave equations with power type nonlinearity on the first-order spatial derivative, the expected sharp upper bound on the lifespan of solutions is obt…
Critical conditions of nonlinearities in the John problem
Chengbo Wang, Xiaoran Zhang
In this paper, we determine the sharp criteria for the nonlinearities in the John problem so that the problem admits global solutions for small i…
Wave equations with logarithmic nonlinearity on hyperbolic spaces
Chengbo Wang, Xiaoran Zhang
In light of the exponential decay of solutions of linear wave equations on hyperbolic spaces , to illustrate the critical nature, we investigate nonlinear wave equati…
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…
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}…